(4X-2)(4X-2)=64

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Solution for (4X-2)(4X-2)=64 equation: 


Simplifying
(4X + -2)(4X + -2) = 64

Reorder the terms:
(-2 + 4X)(4X + -2) = 64

Reorder the terms:
(-2 + 4X)(-2 + 4X) = 64

Multiply (-2 + 4X) * (-2 + 4X)
(-2(-2 + 4X) + 4X * (-2 + 4X)) = 64
((-2 * -2 + 4X * -2) + 4X * (-2 + 4X)) = 64
((4 + -8X) + 4X * (-2 + 4X)) = 64
(4 + -8X + (-2 * 4X + 4X * 4X)) = 64
(4 + -8X + (-8X + 16X2)) = 64

Combine like terms: -8X + -8X = -16X
(4 + -16X + 16X2) = 64

Solving
4 + -16X + 16X2 = 64

Solving for variable 'X'.

Reorder the terms:
4 + -64 + -16X + 16X2 = 64 + -64

Combine like terms: 4 + -64 = -60
-60 + -16X + 16X2 = 64 + -64

Combine like terms: 64 + -64 = 0
-60 + -16X + 16X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -4X + 4X2) = 0

Factor a trinomial.
4((-3 + -2X)(5 + -2X)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -2X)' equal to zero and attempt to solve:

Simplifying
-3 + -2X = 0

Solving
-3 + -2X = 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 + -2X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2X = 0 + 3
-2X = 0 + 3

Combine like terms: 0 + 3 = 3
-2X = 3

Divide each side by '-2'.
X = -1.5

Simplifying
X = -1.5

Subproblem 2
Set the factor '(5 + -2X)' equal to zero and attempt to solve:

Simplifying
5 + -2X = 0

Solving
5 + -2X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2X = 0 + -5
-2X = 0 + -5

Combine like terms: 0 + -5 = -5
-2X = -5

Divide each side by '-2'.
X = 2.5

Simplifying
X = 2.5
Solution
X = {-1.5, 2.5}

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