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

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


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

Reorder the terms:
(4 + 2x)(x + 2) = 8

Reorder the terms:
(4 + 2x)(2 + x) = 8

Multiply (4 + 2x) * (2 + x)
(4(2 + x) + 2x * (2 + x)) = 8
((2 * 4 + x * 4) + 2x * (2 + x)) = 8
((8 + 4x) + 2x * (2 + x)) = 8
(8 + 4x + (2 * 2x + x * 2x)) = 8
(8 + 4x + (4x + 2x2)) = 8

Combine like terms: 4x + 4x = 8x
(8 + 8x + 2x2) = 8

Add '-8' to each side of the equation.
8 + 8x + -8 + 2x2 = 8 + -8

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

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

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

Solving
8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}

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