6x-2x(2x-1)=0

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Solution for 6x-2x(2x-1)=0 equation: 


Simplifying
6x + -2x(2x + -1) = 0

Reorder the terms:
6x + -2x(-1 + 2x) = 0
6x + (-1 * -2x + 2x * -2x) = 0
6x + (2x + -4x2) = 0

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

Solving
8x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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