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

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


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

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

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

Multiply (-2 + 2x) * (9 + 2x)
(-2(9 + 2x) + 2x * (9 + 2x)) = 0
((9 * -2 + 2x * -2) + 2x * (9 + 2x)) = 0
((-18 + -4x) + 2x * (9 + 2x)) = 0
(-18 + -4x + (9 * 2x + 2x * 2x)) = 0
(-18 + -4x + (18x + 4x2)) = 0

Combine like terms: -4x + 18x = 14x
(-18 + 14x + 4x2) = 0

Solving
-18 + 14x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 7x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 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 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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 = {-4.5, 1}

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