x=2x(4x-2x)

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


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

Combine like terms: 4x + -2x = 2x
x = 2x(2x)

Remove parenthesis around (2x)
x = 2x * 2x

Reorder the terms for easier multiplication:
x = 2 * 2x * x

Multiply 2 * 2
x = 4x * x

Multiply x * x
x = 4x2

Solving
x = 4x2

Solving for variable 'x'.

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

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


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0, 0.25}

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