q^2+2q-5=-6

Solution for q^2+2q-5=-6 equation:

Simplifying
q2 + 2q + -5 = -6

Reorder the terms:
-5 + 2q + q2 = -6

Solving
-5 + 2q + q2 = -6

Solving for variable 'q'.

Reorder the terms:
-5 + 6 + 2q + q2 = -6 + 6

Combine like terms: -5 + 6 = 1
1 + 2q + q2 = -6 + 6

Combine like terms: -6 + 6 = 0
1 + 2q + q2 = 0

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

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

Simplifying
1 + q = 0

Solving
1 + q = 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 + q = 0 + -1

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

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

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

Simplifying
1 + q = 0

Solving
1 + q = 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 + q = 0 + -1

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

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

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