q^2+q-90=0

Solution for q^2+q-90=0 equation:

Simplifying
q2 + q + -90 = 0

Reorder the terms:
-90 + q + q2 = 0

Solving
-90 + q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-10 + -1q)(9 + -1q) = 0

Subproblem 1
Set the factor '(-10 + -1q)' equal to zero and attempt to solve:

Simplifying
-10 + -1q = 0

Solving
-10 + -1q = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1q = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1q = 0 + 10
-1q = 0 + 10

Combine like terms: 0 + 10 = 10
-1q = 10

Divide each side by '-1'.
q = -10

Simplifying
q = -10
Subproblem 2
Set the factor '(9 + -1q)' equal to zero and attempt to solve:

Simplifying
9 + -1q = 0

Solving
9 + -1q = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1q = 0 + -9
-1q = 0 + -9

Combine like terms: 0 + -9 = -9
-1q = -9

Divide each side by '-1'.
q = 9

Simplifying
q = 9
Solution
q = {-10, 9}