(11x-2)(11x-2)-2(11x-2)-8=0

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Solution for (11x-2)(11x-2)-2(11x-2)-8=0 equation: 


Simplifying
(11x + -2)(11x + -2) + -2(11x + -2) + -8 = 0

Reorder the terms:
(-2 + 11x)(11x + -2) + -2(11x + -2) + -8 = 0

Reorder the terms:
(-2 + 11x)(-2 + 11x) + -2(11x + -2) + -8 = 0

Multiply (-2 + 11x) * (-2 + 11x)
(-2(-2 + 11x) + 11x * (-2 + 11x)) + -2(11x + -2) + -8 = 0
((-2 * -2 + 11x * -2) + 11x * (-2 + 11x)) + -2(11x + -2) + -8 = 0
((4 + -22x) + 11x * (-2 + 11x)) + -2(11x + -2) + -8 = 0
(4 + -22x + (-2 * 11x + 11x * 11x)) + -2(11x + -2) + -8 = 0
(4 + -22x + (-22x + 121x2)) + -2(11x + -2) + -8 = 0

Combine like terms: -22x + -22x = -44x
(4 + -44x + 121x2) + -2(11x + -2) + -8 = 0

Reorder the terms:
4 + -44x + 121x2 + -2(-2 + 11x) + -8 = 0
4 + -44x + 121x2 + (-2 * -2 + 11x * -2) + -8 = 0
4 + -44x + 121x2 + (4 + -22x) + -8 = 0

Reorder the terms:
4 + 4 + -8 + -44x + -22x + 121x2 = 0

Combine like terms: 4 + 4 = 8
8 + -8 + -44x + -22x + 121x2 = 0

Combine like terms: 8 + -8 = 0
0 + -44x + -22x + 121x2 = 0
-44x + -22x + 121x2 = 0

Combine like terms: -44x + -22x = -66x
-66x + 121x2 = 0

Solving
-66x + 121x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11x'.
11x(-6 + 11x) = 0

Ignore the factor 11.

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 '(-6 + 11x)' equal to zero and attempt to solve:

Simplifying
-6 + 11x = 0

Solving
-6 + 11x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 11x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 0 + 6
11x = 0 + 6

Combine like terms: 0 + 6 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455
Solution
x = {0, 0.5454545455}

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