(2x-2)=(4x^2-6x-2)

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Solution for (2x-2)=(4x^2-6x-2) equation: 


Simplifying
(2x + -2) = (4x2 + -6x + -2)

Reorder the terms:
(-2 + 2x) = (4x2 + -6x + -2)

Remove parenthesis around (-2 + 2x)
-2 + 2x = (4x2 + -6x + -2)

Reorder the terms:
-2 + 2x = (-2 + -6x + 4x2)

Remove parenthesis around (-2 + -6x + 4x2)
-2 + 2x = -2 + -6x + 4x2

Add '2' to each side of the equation.
-2 + 2 + 2x = -2 + -6x + 2 + 4x2

Combine like terms: -2 + 2 = 0
0 + 2x = -2 + -6x + 2 + 4x2
2x = -2 + -6x + 2 + 4x2

Reorder the terms:
2x = -2 + 2 + -6x + 4x2

Combine like terms: -2 + 2 = 0
2x = 0 + -6x + 4x2
2x = -6x + 4x2

Solving
2x = -6x + 4x2

Solving for variable 'x'.

Combine like terms: 2x + 6x = 8x
8x + -4x2 = -6x + 4x2 + 6x + -4x2

Reorder the terms:
8x + -4x2 = -6x + 6x + 4x2 + -4x2

Combine like terms: -6x + 6x = 0
8x + -4x2 = 0 + 4x2 + -4x2
8x + -4x2 = 4x2 + -4x2

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -1x) = 0

Ignore the factor 4.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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