-2x^2-8x+6=2x^2-4x+6

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Solution for -2x^2-8x+6=2x^2-4x+6 equation: 


Simplifying
-2x2 + -8x + 6 = 2x2 + -4x + 6

Reorder the terms:
6 + -8x + -2x2 = 2x2 + -4x + 6

Reorder the terms:
6 + -8x + -2x2 = 6 + -4x + 2x2

Add '-6' to each side of the equation.
6 + -8x + -6 + -2x2 = 6 + -4x + -6 + 2x2

Reorder the terms:
6 + -6 + -8x + -2x2 = 6 + -4x + -6 + 2x2

Combine like terms: 6 + -6 = 0
0 + -8x + -2x2 = 6 + -4x + -6 + 2x2
-8x + -2x2 = 6 + -4x + -6 + 2x2

Reorder the terms:
-8x + -2x2 = 6 + -6 + -4x + 2x2

Combine like terms: 6 + -6 = 0
-8x + -2x2 = 0 + -4x + 2x2
-8x + -2x2 = -4x + 2x2

Solving
-8x + -2x2 = -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-8x + 4x + -2x2 + -2x2 = -4x + 2x2 + 4x + -2x2

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

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

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

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

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

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