(2x-9)(4x+4)=

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Solution for (2x-9)(4x+4)= equation: 


Simplifying
(2x + -9)(4x + 4) = 0

Reorder the terms:
(-9 + 2x)(4x + 4) = 0

Reorder the terms:
(-9 + 2x)(4 + 4x) = 0

Multiply (-9 + 2x) * (4 + 4x)
(-9(4 + 4x) + 2x * (4 + 4x)) = 0
((4 * -9 + 4x * -9) + 2x * (4 + 4x)) = 0
((-36 + -36x) + 2x * (4 + 4x)) = 0
(-36 + -36x + (4 * 2x + 4x * 2x)) = 0
(-36 + -36x + (8x + 8x2)) = 0

Combine like terms: -36x + 8x = -28x
(-36 + -28x + 8x2) = 0

Solving
-36 + -28x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -7x + 2x2) = 0

Factor a trinomial.
4((-1 + -1x)(9 + -2x)) = 0

Ignore the factor 4.

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 + -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
Solution
x = {-1, 4.5}

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