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

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


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

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

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

Multiply (-4 + 2x) * (-4 + 2x)
(-4(-4 + 2x) + 2x * (-4 + 2x)) = 9
((-4 * -4 + 2x * -4) + 2x * (-4 + 2x)) = 9
((16 + -8x) + 2x * (-4 + 2x)) = 9
(16 + -8x + (-4 * 2x + 2x * 2x)) = 9
(16 + -8x + (-8x + 4x2)) = 9

Combine like terms: -8x + -8x = -16x
(16 + -16x + 4x2) = 9

Solving
16 + -16x + 4x2 = 9

Solving for variable 'x'.

Reorder the terms:
16 + -9 + -16x + 4x2 = 9 + -9

Combine like terms: 16 + -9 = 7
7 + -16x + 4x2 = 9 + -9

Combine like terms: 9 + -9 = 0
7 + -16x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(7 + -2x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0.5, 3.5}

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