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

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Solution for (x+9)(2x-2)=0 equation: 


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

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

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

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

Combine like terms: 18x + -2x = 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((-9 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-9, 1}

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