Solve for all values of x by factoring. x^(2)-6x-64=-6x Answer: x=

Simplify equation: Simplify the equation by adding 6x to both sides to get all terms on one side of the equation. x^2 - 6x - 64 + 6x = -6x + 6x x^2 - 64 = 0Factor quadratic equation: Factor the quadratic equation. We need to find two numbers that multiply to -64 and add up to 0. The numbers 8 and -8 satisfy these conditions. (x + 8)(x - 8) = 0Solve for x: Set each factor equal to zero and solve for x. x + 8 = 0 or x - 8 = 0 x = -8 or x = 8

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)-6x-64=-6x
Answer:
x=

Solve for all values of $x$ by factoring. $\newline$ $x^{2}-6 x-64=-6 x$ $\newline$ 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}-6 x-64=-6 x

\newline

Answer:

x=

Simplify equation: Simplify the equation by adding $6x$ to both sides to get all terms on one side of the equation. $\newline$ $x^2 - 6x - 64 + 6x = -6x + 6x$ $\newline$ $x^2 - 64 = 0$
Factor quadratic equation: Factor the quadratic equation. $\newline$ We need to find two numbers that multiply to $-64$ and add up to $0$ . The numbers $8$ and $-8$ satisfy these conditions. $\newline$ $(x + 8)(x - 8) = 0$
Solve for x: Set each factor equal to zero and solve for x. $\newline$ $x + 8 = 0$ or $x - 8 = 0$ $\newline$ $x = -8$ or $x = 8$