2x(3x+6)+2x(2x-4)=

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Solution for 2x(3x+6)+2x(2x-4)= equation: 


Simplifying
2x(3x + 6) + 2x(2x + -4) = 0

Reorder the terms:
2x(6 + 3x) + 2x(2x + -4) = 0
(6 * 2x + 3x * 2x) + 2x(2x + -4) = 0
(12x + 6x2) + 2x(2x + -4) = 0

Reorder the terms:
12x + 6x2 + 2x(-4 + 2x) = 0
12x + 6x2 + (-4 * 2x + 2x * 2x) = 0
12x + 6x2 + (-8x + 4x2) = 0

Reorder the terms:
12x + -8x + 6x2 + 4x2 = 0

Combine like terms: 12x + -8x = 4x
4x + 6x2 + 4x2 = 0

Combine like terms: 6x2 + 4x2 = 10x2
4x + 10x2 = 0

Solving
4x + 10x2 = 0

Solving for variable 'x'.

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {0, -0.4}

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