-2x(2x-1)=4x

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Solution for -2x(2x-1)=4x equation: 


Simplifying
-2x(2x + -1) = 4x

Reorder the terms:
-2x(-1 + 2x) = 4x
(-1 * -2x + 2x * -2x) = 4x
(2x + -4x2) = 4x

Solving
2x + -4x2 = 4x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

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