-2x(3x-4)=2x

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Solution for -2x(3x-4)=2x equation: 


Simplifying
-2x(3x + -4) = 2x

Reorder the terms:
-2x(-4 + 3x) = 2x
(-4 * -2x + 3x * -2x) = 2x
(8x + -6x2) = 2x

Solving
8x + -6x2 = 2x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '6x'.
6x(1 + -1x) = 0

Ignore the factor 6.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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