x(x+2)=4x

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


Simplifying
x(x + 2) = 4x

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

Solving
2x + x2 = 4x

Solving for variable 'x'.

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

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

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

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

Simplifying
-2 + x = 0

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

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

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

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

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