(8x+9)(8x-9)=64x-81

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Solution for (8x+9)(8x-9)=64x-81 equation: 


Simplifying
(8x + 9)(8x + -9) = 64x + -81

Reorder the terms:
(9 + 8x)(8x + -9) = 64x + -81

Reorder the terms:
(9 + 8x)(-9 + 8x) = 64x + -81

Multiply (9 + 8x) * (-9 + 8x)
(9(-9 + 8x) + 8x * (-9 + 8x)) = 64x + -81
((-9 * 9 + 8x * 9) + 8x * (-9 + 8x)) = 64x + -81
((-81 + 72x) + 8x * (-9 + 8x)) = 64x + -81
(-81 + 72x + (-9 * 8x + 8x * 8x)) = 64x + -81
(-81 + 72x + (-72x + 64x2)) = 64x + -81

Combine like terms: 72x + -72x = 0
(-81 + 0 + 64x2) = 64x + -81
(-81 + 64x2) = 64x + -81

Reorder the terms:
-81 + 64x2 = -81 + 64x

Add '81' to each side of the equation.
-81 + 81 + 64x2 = -81 + 81 + 64x

Combine like terms: -81 + 81 = 0
0 + 64x2 = -81 + 81 + 64x
64x2 = -81 + 81 + 64x

Combine like terms: -81 + 81 = 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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