m^2+3m-34=6

Solution for m^2+3m-34=6 equation:

Simplifying
m2 + 3m + -34 = 6

Reorder the terms:
-34 + 3m + m2 = 6

Solving
-34 + 3m + m2 = 6

Solving for variable 'm'.

Reorder the terms:
-34 + -6 + 3m + m2 = 6 + -6

Combine like terms: -34 + -6 = -40
-40 + 3m + m2 = 6 + -6

Combine like terms: 6 + -6 = 0
-40 + 3m + m2 = 0

Factor a trinomial.
(-8 + -1m)(5 + -1m) = 0

Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-8, 5}