q^2+30q-31=0

Solution for q^2+30q-31=0 equation:

Simplifying
q2 + 30q + -31 = 0

Reorder the terms:
-31 + 30q + q2 = 0

Solving
-31 + 30q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-31 + -1q)(1 + -1q) = 0

Subproblem 1
Set the factor '(-31 + -1q)' equal to zero and attempt to solve:

Simplifying
-31 + -1q = 0

Solving
-31 + -1q = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1q = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1q = 0 + 31
-1q = 0 + 31

Combine like terms: 0 + 31 = 31
-1q = 31

Divide each side by '-1'.
q = -31

Simplifying
q = -31
Subproblem 2
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

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

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

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

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

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

Simplifying
q = 1
Solution
q = {-31, 1}