(11x+8)(11x-8)=121x-64

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Solution for (11x+8)(11x-8)=121x-64 equation: 


Simplifying
(11x + 8)(11x + -8) = 121x + -64

Reorder the terms:
(8 + 11x)(11x + -8) = 121x + -64

Reorder the terms:
(8 + 11x)(-8 + 11x) = 121x + -64

Multiply (8 + 11x) * (-8 + 11x)
(8(-8 + 11x) + 11x * (-8 + 11x)) = 121x + -64
((-8 * 8 + 11x * 8) + 11x * (-8 + 11x)) = 121x + -64
((-64 + 88x) + 11x * (-8 + 11x)) = 121x + -64
(-64 + 88x + (-8 * 11x + 11x * 11x)) = 121x + -64
(-64 + 88x + (-88x + 121x2)) = 121x + -64

Combine like terms: 88x + -88x = 0
(-64 + 0 + 121x2) = 121x + -64
(-64 + 121x2) = 121x + -64

Reorder the terms:
-64 + 121x2 = -64 + 121x

Add '64' to each side of the equation.
-64 + 64 + 121x2 = -64 + 64 + 121x

Combine like terms: -64 + 64 = 0
0 + 121x2 = -64 + 64 + 121x
121x2 = -64 + 64 + 121x

Combine like terms: -64 + 64 = 0
121x2 = 0 + 121x
121x2 = 121x

Solving
121x2 = 121x

Solving for variable 'x'.

Reorder the terms:
-121x + 121x2 = 121x + -121x

Combine like terms: 121x + -121x = 0
-121x + 121x2 = 0

Factor out the Greatest Common Factor (GCF), '121x'.
121x(-1 + x) = 0

Ignore the factor 121.

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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