(4x-8)(4x-8)=16

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Solution for (4x-8)(4x-8)=16 equation: 


Simplifying
(4x + -8)(4x + -8) = 16

Reorder the terms:
(-8 + 4x)(4x + -8) = 16

Reorder the terms:
(-8 + 4x)(-8 + 4x) = 16

Multiply (-8 + 4x) * (-8 + 4x)
(-8(-8 + 4x) + 4x * (-8 + 4x)) = 16
((-8 * -8 + 4x * -8) + 4x * (-8 + 4x)) = 16
((64 + -32x) + 4x * (-8 + 4x)) = 16
(64 + -32x + (-8 * 4x + 4x * 4x)) = 16
(64 + -32x + (-32x + 16x2)) = 16

Combine like terms: -32x + -32x = -64x
(64 + -64x + 16x2) = 16

Solving
64 + -64x + 16x2 = 16

Solving for variable 'x'.

Reorder the terms:
64 + -16 + -64x + 16x2 = 16 + -16

Combine like terms: 64 + -16 = 48
48 + -64x + 16x2 = 16 + -16

Combine like terms: 16 + -16 = 0
48 + -64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + -4x + x2) = 0

Factor a trinomial.
16((1 + -1x)(3 + -1x)) = 0

Ignore the factor 16.

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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