Solve for all values of x by factoring. x^(2)+9x+1=1 Answer: x=

Simplify Equation: Simplify the equation by subtracting 1 from both sides to set the equation to zero. x^2 + 9x + 1 - 1 = 0 x^2 + 9x = 0Factor Out Common Factor: Factor out the greatest common factor, which in this case is x. x(x + 9) = 0Apply Zero-Product Property: Apply the zero-product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. Set each factor equal to zero and solve for x. x = 0 or x + 9 = 0Solve for x: Solve each equation for x. For the first factor: x = 0 For the second factor: x + 9 = 0 x = -9

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Solve for all values of

x

by factoring.

\newline

x^{2}+9 x+1=1

\newline

Answer:

x=

Simplify Equation: Simplify the equation by subtracting $1$ from both sides to set the equation to zero. $\newline$ $x^2 + 9x + 1 - 1 = 0$ $\newline$ $x^2 + 9x = 0$
Factor Out Common Factor: Factor out the greatest common factor, which in this case is $x$ . $x(x + 9) = 0$
Apply Zero-Product Property: Apply the zero-product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. $\newline$ Set each factor equal to zero and solve for $x$ . $\newline$ $x = 0$ or $x + 9 = 0$
Solve for x: Solve each equation for x. $\newline$ For the first factor: $\newline$ $x = 0$ $\newline$ For the second factor: $\newline$ $x + 9 = 0$ $\newline$ $x = -9$