Solve for all values of x by factoring. x^(2)=-5x Answer: x=

Move Terms to One Side: Move all terms to one side of the equation to set it equal to zero. x^2 + 5x = 0Factor Out Common Term: Factor out the common term x. x(x + 5) = 0Apply Zero Product Property: Apply the zero product property, which states that if a product of two factors is zero, then at least one of the factors must be zero. x = 0 or x + 5 = 0Solve for x: Solve each equation for x. For the first equation: x = 0 For the second equation: x + 5 = 0, subtract 5 from both sides to get x = -5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for all values of
x by factoring.

x^(2)=-5x
Answer:
x=

Solve for all values of $x$ by factoring. $\newline$ $x^{2}=-5 x$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Solve for all values of

x

by factoring.

\newline

x^{2}=-5 x

\newline

Answer:

x=

Move Terms to One Side: Move all terms to one side of the equation to set it equal to zero. $\newline$ $x^2 + 5x = 0$
Factor Out Common Term: Factor out the common term $x$ . $x(x + 5) = 0$
Apply Zero Product Property: Apply the zero product property, which states that if a product of two factors is $0$ , then at least one of the factors must be $0$ . $\newline$ $x = 0$ or $x + 5 = 0$
Solve for x: Solve each equation for x. $\newline$ For the first equation: $x = 0$ $\newline$ For the second equation: $x + 5 = 0$ , subtract $5$ from both sides to get $x = -5$