x^2+15x-6750=0

Solution for x^2+15x-6750=0 equation:

Simplifying
x2 + 15x + -6750 = 0

Reorder the terms:
-6750 + 15x + x2 = 0

Solving
-6750 + 15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-90 + -1x)(75 + -1x) = 0

Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve:

Simplifying
-90 + -1x = 0

Solving
-90 + -1x = 0

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

Add '90' to each side of the equation.
-90 + 90 + -1x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -1x = 0 + 90
-1x = 0 + 90

Combine like terms: 0 + 90 = 90
-1x = 90

Divide each side by '-1'.
x = -90

Simplifying
x = -90
Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve:

Simplifying
75 + -1x = 0

Solving
75 + -1x = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1x = 0 + -75
-1x = 0 + -75

Combine like terms: 0 + -75 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75
Solution
x = {-90, 75}