x^2+x=120*119

Solution for x^2+x=120*119 equation:

Simplifying
x2 + x = 120 * 119

Reorder the terms:
x + x2 = 120 * 119

Multiply 120 * 119
x + x2 = 14280

Solving
x + x2 = 14280

Solving for variable 'x'.

Reorder the terms:
-14280 + x + x2 = 14280 + -14280

Combine like terms: 14280 + -14280 = 0
-14280 + x + x2 = 0

Factor a trinomial.
(-120 + -1x)(119 + -1x) = 0

Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve:

Simplifying
-120 + -1x = 0

Solving
-120 + -1x = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1x = 0 + 120

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

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

Divide each side by '-1'.
x = -120

Simplifying
x = -120
Subproblem 2
Set the factor '(119 + -1x)' equal to zero and attempt to solve:

Simplifying
119 + -1x = 0

Solving
119 + -1x = 0

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

Add '-119' to each side of the equation.
119 + -119 + -1x = 0 + -119

Combine like terms: 119 + -119 = 0
0 + -1x = 0 + -119
-1x = 0 + -119

Combine like terms: 0 + -119 = -119
-1x = -119

Divide each side by '-1'.
x = 119

Simplifying
x = 119
Solution
x = {-120, 119}