(2x+2)(x-9)=

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Solution for (2x+2)(x-9)= equation:


Simplifying
(2x + 2)(x + -9) = 0

Reorder the terms:
(2 + 2x)(x + -9) = 0

Reorder the terms:
(2 + 2x)(-9 + x) = 0

Multiply (2 + 2x) * (-9 + x)
(2(-9 + x) + 2x * (-9 + x)) = 0
((-9 * 2 + x * 2) + 2x * (-9 + x)) = 0
((-18 + 2x) + 2x * (-9 + x)) = 0
(-18 + 2x + (-9 * 2x + x * 2x)) = 0
(-18 + 2x + (-18x + 2x2)) = 0

Combine like terms: 2x + -18x = -16x
(-18 + -16x + 2x2) = 0

Solving
-18 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -8x + x2) = 0

Factor a trinomial.
2((-1 + -1x)(9 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-1, 9}

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