2x(x+6)=4x-8

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Solution for 2x(x+6)=4x-8 equation: 


Simplifying
2x(x + 6) = 4x + -8

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

Reorder the terms:
12x + 2x2 = -8 + 4x

Solving
12x + 2x2 = -8 + 4x

Solving for variable 'x'.

Reorder the terms:
8 + 12x + -4x + 2x2 = -8 + 4x + 8 + -4x

Combine like terms: 12x + -4x = 8x
8 + 8x + 2x2 = -8 + 4x + 8 + -4x

Reorder the terms:
8 + 8x + 2x2 = -8 + 8 + 4x + -4x

Combine like terms: -8 + 8 = 0
8 + 8x + 2x2 = 0 + 4x + -4x
8 + 8x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4x + x2) = 0

Factor a trinomial.
2((2 + x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

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 = {-2, -2}

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