x^2+6x-15120=0

Solution for x^2+6x-15120=0 equation:

Simplifying
x2 + 6x + -15120 = 0

Reorder the terms:
-15120 + 6x + x2 = 0

Solving
-15120 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-126 + -1x)(120 + -1x) = 0

Subproblem 1
Set the factor '(-126 + -1x)' equal to zero and attempt to solve:

Simplifying
-126 + -1x = 0

Solving
-126 + -1x = 0

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

Add '126' to each side of the equation.
-126 + 126 + -1x = 0 + 126

Combine like terms: -126 + 126 = 0
0 + -1x = 0 + 126
-1x = 0 + 126

Combine like terms: 0 + 126 = 126
-1x = 126

Divide each side by '-1'.
x = -126

Simplifying
x = -126
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 = {-126, 120}