x(x-4)=2x

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


Simplifying
x(x + -4) = 2x

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

Solving
-4x + x2 = 2x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {0, 6}

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