Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the following equation for x. Express your answer in the simplest form. 5(3x+3)=5(3x+3)

Solve the following equation for x x . Express your answer in the simplest form.\newline5(3x+3)=5(3x+3) 5(3 x+3)=5(3 x+3) \newline

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Find the roots of factored polynomialsright chevron icon

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline5(3x+3)=5(3x+3) 5(3 x+3)=5(3 x+3) \newline
  1. Simplify Equation: First, we need to simplify both sides of the equation if possible.\newline5(3x+3)=5(3x+3)5(3x + 3) = 5(3x + 3)\newlineSince both sides of the equation are identical, they simplify to the same expression.
  2. Distribute 55: We can distribute the 55 on both sides of the equation.\newline5×3x+5×3=5×3x+5×35 \times 3x + 5 \times 3 = 5 \times 3x + 5 \times 3\newlineThis simplifies to:\newline15x+15=15x+1515x + 15 = 15x + 15
  3. Subtract 15x15x: Next, we subtract 15x15x from both sides of the equation to try to isolate xx.
    15x+15−15x=15x+15−15x15x + 15 - 15x = 15x + 15 - 15x
    This simplifies to:
    15=1515 = 15
  4. Verify Identity: We notice that the variable xx has been eliminated, and we are left with a statement that 1515 equals 1515, which is always true.\newlineThis means that the equation is an identity and is true for all values of xx.
  5. Infinite Solutions: Since the equation is true for all values of xx, there is no single solution for xx. Instead, xx can be any real number.

More problems from Find the roots of factored polynomials

Question
Find the degree of this polynomial.\newline`5b^{10} + 3b^3`\newline_______
Get tutor helpright-arrow

Posted 5 months ago

Question
Subtract.\newline(9a+5)−(2a+4)(9a + 5) - (2a + 4)\newline____
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the product. Simplify your answer. \newline−3v2(v2−9)-3v^2(v^2 - 9)\newline________
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the product. Simplify your answer.\newline(v−3)(4v+1)(v - 3)(4v + 1)\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the square. Simplify your answer.\newline(3y+2)2(3y + 2)^2\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Divide. If there is a remainder, include it as a simplified fraction.\newline(24t2+36t)÷6t(24t^2 + 36t) \div 6t\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Is the function q(x)=x6−9 q(x) = x^6 - 9 even, odd, or neither?\newlineChoices:\newline[[even][odd][neither]]\text{[[even][odd][neither]]}
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the product. Simplify your answer. \newline−3q2(−3q2+q)-3q^2(-3q^2 + q)\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the product. Simplify your answer.\newline(r+3)(4r+2)(r + 3)(4r + 2)\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the roots of the factored polynomial.\newline(x+7)(x+4)(x + 7)(x + 4)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
Get tutor helpright-arrow

Posted 9 months ago

View all (260)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant