q^2+12q+35=0

Solution for q^2+12q+35=0 equation:

Simplifying
q2 + 12q + 35 = 0

Reorder the terms:
35 + 12q + q2 = 0

Solving
35 + 12q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(7 + q)(5 + q) = 0

Subproblem 1
Set the factor '(7 + q)' equal to zero and attempt to solve:

Simplifying
7 + q = 0

Solving
7 + q = 0

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

Add '-7' to each side of the equation.
7 + -7 + q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + q = 0 + -7
q = 0 + -7

Combine like terms: 0 + -7 = -7
q = -7

Simplifying
q = -7
Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

Add '-5' to each side of the equation.
5 + -5 + q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + q = 0 + -5
q = 0 + -5

Combine like terms: 0 + -5 = -5
q = -5

Simplifying
q = -5
Solution
q = {-7, -5}