x^2-x=120*119

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

Simplifying
x2 + -1x = 120 * 119

Reorder the terms:
-1x + x2 = 120 * 119

Multiply 120 * 119
-1x + x2 = 14280

Solving
-1x + x2 = 14280

Solving for variable 'x'.

Reorder the terms:
-14280 + -1x + x2 = 14280 + -14280

Combine like terms: 14280 + -14280 = 0
-14280 + -1x + x2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-119, 120}