x^2-x=60*119

Solution for x^2-x=60*119 equation:

Simplifying
x2 + -1x = 60 * 119

Reorder the terms:
-1x + x2 = 60 * 119

Multiply 60 * 119
-1x + x2 = 7140

Solving
-1x + x2 = 7140

Solving for variable 'x'.

Reorder the terms:
-7140 + -1x + x2 = 7140 + -7140

Combine like terms: 7140 + -7140 = 0
-7140 + -1x + x2 = 0

Factor a trinomial.
(-84 + -1x)(85 + -1x) = 0

Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve:

Simplifying
-84 + -1x = 0

Solving
-84 + -1x = 0

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

Add '84' to each side of the equation.
-84 + 84 + -1x = 0 + 84

Combine like terms: -84 + 84 = 0
0 + -1x = 0 + 84
-1x = 0 + 84

Combine like terms: 0 + 84 = 84
-1x = 84

Divide each side by '-1'.
x = -84

Simplifying
x = -84
Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve:

Simplifying
85 + -1x = 0

Solving
85 + -1x = 0

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

Add '-85' to each side of the equation.
85 + -85 + -1x = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -1x = 0 + -85
-1x = 0 + -85

Combine like terms: 0 + -85 = -85
-1x = -85

Divide each side by '-1'.
x = 85

Simplifying
x = 85
Solution
x = {-84, 85}