4x(x+3)-2x=

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Solution for 4x(x+3)-2x= equation: 


Simplifying
4x(x + 3) + -2x = 0

Reorder the terms:
4x(3 + x) + -2x = 0
(3 * 4x + x * 4x) + -2x = 0
(12x + 4x2) + -2x = 0

Reorder the terms:
12x + -2x + 4x2 = 0

Combine like terms: 12x + -2x = 10x
10x + 4x2 = 0

Solving
10x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 2x) = 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 '(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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