0=2x^2+8x+2x+8

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Solution for 0=2x^2+8x+2x+8 equation: 


Simplifying
0 = 2x2 + 8x + 2x + 8

Reorder the terms:
0 = 8 + 8x + 2x + 2x2

Combine like terms: 8x + 2x = 10x
0 = 8 + 10x + 2x2

Solving
0 = 8 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + -10x + -2x2 = 8 + 10x + 2x2 + -8 + -10x + -2x2

Reorder the terms:
-8 + -10x + -2x2 = 8 + -8 + 10x + -10x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-8 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
-8 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
-8 + -10x + -2x2 = 0 + 2x2 + -2x2
-8 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(4 + 5x + x2) = 0

Factor a trinomial.
-2((4 + x)(1 + x)) = 0

Ignore the factor -2.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-4, -1}

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