120=x^2+6x+8

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Solution for 120=x^2+6x+8 equation: 


Simplifying
120 = x2 + 6x + 8

Reorder the terms:
120 = 8 + 6x + x2

Solving
120 = 8 + 6x + x2

Solving for variable 'x'.

Combine like terms: 120 + -8 = 112
112 + -6x + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Reorder the terms:
112 + -6x + -1x2 = 8 + -8 + 6x + -6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
112 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
112 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
112 + -6x + -1x2 = 0 + x2 + -1x2
112 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
112 + -6x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(14 + x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {8, -14}

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