(8x+4)(8x-4)=64x-16

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Solution for (8x+4)(8x-4)=64x-16 equation: 


Simplifying
(8x + 4)(8x + -4) = 64x + -16

Reorder the terms:
(4 + 8x)(8x + -4) = 64x + -16

Reorder the terms:
(4 + 8x)(-4 + 8x) = 64x + -16

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

Combine like terms: 32x + -32x = 0
(-16 + 0 + 64x2) = 64x + -16
(-16 + 64x2) = 64x + -16

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

Add '16' to each side of the equation.
-16 + 16 + 64x2 = -16 + 16 + 64x

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

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

Solving
64x2 = 64x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '64x'.
64x(-1 + x) = 0

Ignore the factor 64.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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