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

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


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

Reorder the terms:
-2x(-6 + 4x) = 2x
(-6 * -2x + 4x * -2x) = 2x
(12x + -8x2) = 2x

Solving
12x + -8x2 = 2x

Solving for variable 'x'.

Reorder the terms:
12x + -2x + -8x2 = 2x + -2x

Combine like terms: 12x + -2x = 10x
10x + -8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
10x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + -4x) = 0

Ignore the factor 2.

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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, 1.25}

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