m^2+34=-1-12m

Solution for m^2+34=-1-12m equation:

Simplifying
m2 + 34 = -1 + -12m

Reorder the terms:
34 + m2 = -1 + -12m

Solving
34 + m2 = -1 + -12m

Solving for variable 'm'.

Reorder the terms:
34 + 1 + 12m + m2 = -1 + -12m + 1 + 12m

Combine like terms: 34 + 1 = 35
35 + 12m + m2 = -1 + -12m + 1 + 12m

Reorder the terms:
35 + 12m + m2 = -1 + 1 + -12m + 12m

Combine like terms: -1 + 1 = 0
35 + 12m + m2 = 0 + -12m + 12m
35 + 12m + m2 = -12m + 12m

Combine like terms: -12m + 12m = 0
35 + 12m + m2 = 0

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

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

Simplifying
7 + m = 0

Solving
7 + m = 0

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

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

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

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

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

Simplifying
5 + m = 0

Solving
5 + m = 0

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

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

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

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

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