0=x^2+x-240

Solution for 0=x^2+x-240 equation:

Simplifying
0 = x2 + x + -240

Reorder the terms:
0 = -240 + x + x2

Solving
0 = -240 + x + x2

Solving for variable 'x'.

Combine like terms: 0 + 240 = 240
240 + -1x + -1x2 = -240 + x + x2 + 240 + -1x + -1x2

Reorder the terms:
240 + -1x + -1x2 = -240 + 240 + x + -1x + x2 + -1x2

Combine like terms: -240 + 240 = 0
240 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
240 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
240 + -1x + -1x2 = 0 + x2 + -1x2
240 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
240 + -1x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(16 + x) = 0

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {15, -16}