x^2+9x-90=130

Solution for x^2+9x-90=130 equation:

Simplifying
x2 + 9x + -90 = 130

Reorder the terms:
-90 + 9x + x2 = 130

Solving
-90 + 9x + x2 = 130

Solving for variable 'x'.

Reorder the terms:
-90 + -130 + 9x + x2 = 130 + -130

Combine like terms: -90 + -130 = -220
-220 + 9x + x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-220 + 9x + x2 = 0

Factor a trinomial.
(-20 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-20, 11}