x^2+x=60*119

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

Simplifying
x2 + x = 60 * 119

Reorder the terms:
x + x2 = 60 * 119

Multiply 60 * 119
x + x2 = 7140

Solving
x + x2 = 7140

Solving for variable 'x'.

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-85, 84}