2x(x+3)=x

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Solution for 2x(x+3)=x equation: 


Simplifying
2x(x + 3) = x

Reorder the terms:
2x(3 + x) = x
(3 * 2x + x * 2x) = x
(6x + 2x2) = x

Solving
6x + 2x2 = x

Solving for variable 'x'.

Reorder the terms:
6x + -1x + 2x2 = x + -1x

Combine like terms: 6x + -1x = 5x
5x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
5x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -2.5}

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