=2x(x-2)

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


Simplifying
0 = 2x(x + -2)

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

Solving
0 = -4x + 2x2

Solving for variable 'x'.
Remove the zero:
4x + -2x2 = -4x + 2x2 + 4x + -2x2

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

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

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -1x) = 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 '(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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