0=x^2-2x-120

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Solution for 0=x^2-2x-120 equation: 


Simplifying
0 = x2 + -2x + -120

Reorder the terms:
0 = -120 + -2x + x2

Solving
0 = -120 + -2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 120 = 120
120 + 2x + -1x2 = -120 + -2x + x2 + 120 + 2x + -1x2

Reorder the terms:
120 + 2x + -1x2 = -120 + 120 + -2x + 2x + x2 + -1x2

Combine like terms: -120 + 120 = 0
120 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
120 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
120 + 2x + -1x2 = 0 + x2 + -1x2
120 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
120 + 2x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(10 + x) = 0


Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {12, -10}

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