2x(x+6)+2x=

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Solution for 2x(x+6)+2x= equation: 


Simplifying
2x(x + 6) + 2x = 0

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

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

Combine like terms: 12x + 2x = 14x
14x + 2x2 = 0

Solving
14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -7}

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