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

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


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

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

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

Multiply (-4 + 2x) * (-4 + 2x)
((-4(-4 + 2x) + 2x * (-4 + 2x))) + -4 = 0
(((-4 * -4 + 2x * -4) + 2x * (-4 + 2x))) + -4 = 0
(((16 + -8x) + 2x * (-4 + 2x))) + -4 = 0
((16 + -8x + (-4 * 2x + 2x * 2x))) + -4 = 0
((16 + -8x + (-8x + 4x2))) + -4 = 0

Combine like terms: -8x + -8x = -16x
((16 + -16x + 4x2)) + -4 = 0
(16 + -16x + 4x2) + -4 = 0

Remove parenthesis around (16 + -16x + 4x2)
16 + -16x + 4x2 + -4 = 0

Reorder the terms:
16 + -4 + -16x + 4x2 = 0

Combine like terms: 16 + -4 = 12
12 + -16x + 4x2 = 0

Solving
12 + -16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -4x + x2) = 0

Factor a trinomial.
4((1 + -1x)(3 + -1x)) = 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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1, 3}

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