Solve for . Enter the solutions from least to greatest. (2x-1)(x+4)=0

Apply Zero Product Property: We are given the equation (2x-1)(x+4)=0. To find the solutions, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we will set each factor equal to zero and solve for x.Solve for 2x - 1 = 0: First, set the first factor equal to zero: 2x - 1 = 0. Now, solve for x by adding 1 to both sides: 2x = 1. Then, divide both sides by 2 to isolate x: x = 1/2.Solve for x + 4 = 0: Next, set the second factor equal to zero: x + 4 = 0. Solve for x by subtracting 4 from both sides: x = -4.Identify Solutions: We have found two solutions for the equation: x = 1/2 and x = -4. To answer the question prompt, we need to list the solutions from least to greatest.Arrange Solutions: The least solution is x = -4 and the greatest solution is x = 1/2. Therefore, the solutions in order from least to greatest are: -4, 1/2.

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Algebra 1

Multiply polynomials

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Q. Solve for

x

. Enter the solutions from least to greatest.

(2x-1)(x+4)=0

Apply Zero Product Property: We are given the equation $(2x-1)(x+4)=0$ . To find the solutions, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we will set each factor equal to zero and solve for $x$ .
Solve for $2x - 1 = 0$ : First, set the first factor equal to zero: $2x - 1 = 0$ . Now, solve for $x$ by adding $1$ to both sides: $2x = 1$ . Then, divide both sides by $2$ to isolate $x$ : $x = \frac{1}{2}$ .
Solve for $x + 4 = 0$ : Next, set the second factor equal to zero: $x + 4 = 0$ . Solve for $x$ by subtracting $4$ from both sides: $x = -4$ .
Identify Solutions: We have found two solutions for the equation: $x = \frac{1}{2}$ and $x = -4$ . To answer the question prompt, we need to list the solutions from least to greatest.
Arrange Solutions: The least solution is $x = -4$ and the greatest solution is $x = \frac{1}{2}$ . Therefore, the solutions in order from least to greatest are: $-4$ , $\frac{1}{2}$ .