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

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


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

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

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

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

Combine like terms: 4x + 2x = 6x
(8 + 6x + x2) = 4x + 8

Reorder the terms:
8 + 6x + x2 = 8 + 4x

Add '-8' to each side of the equation.
8 + 6x + -8 + x2 = 8 + -8 + 4x

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

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

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

Solving
6x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
6x + -4x + x2 = 4x + -4x

Combine like terms: 6x + -4x = 2x
2x + x2 = 4x + -4x

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

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


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 + 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 = {0, -2}

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