Solve for all values of x by factoring. x^(2)-2x-36=-2x Answer: x=

Simplify equation: Simplify the equation by adding 2x to both sides to get a quadratic equation in standard form. x^2 - 2x - 36 + 2x = -2x + 2x x^2 - 36 = 0Factor quadratic: Factor the quadratic equation. We need to find two numbers that multiply to -36 and add up to 0. The numbers are +6 and -6. x^2 - 36 = (x + 6)(x - 6)Solve for x: Set each factor equal to zero and solve for x. x + 6 = 0 or x - 6 = 0 x = -6 or x = 6

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Solve for all values of
x by factoring.

x^(2)-2x-36=-2x
Answer:
x=

Solve for all values of $x$ by factoring. $\newline$ $x^{2}-2 x-36=-2 x$ $\newline$ Answer: $x=$

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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}-2 x-36=-2 x

\newline

Answer:

x=

Simplify equation: Simplify the equation by adding $2x$ to both sides to get a quadratic equation in standard form. $\newline$ $x^2 - 2x - 36 + 2x = -2x + 2x$ $\newline$ $x^2 - 36 = 0$
Factor quadratic: Factor the quadratic equation. $\newline$ We need to find two numbers that multiply to $-36$ and add up to $0$ . The numbers are $+6$ and $-6$ . $\newline$ $x^2 - 36 = (x + 6)(x - 6)$
Solve for x: Set each factor equal to zero and solve for x. $\newline$ $x + 6 = 0$ or $x - 6 = 0$ $\newline$ $x = -6$ or $x = 6$