m^2+10m-34=5

Solution for m^2+10m-34=5 equation:

Simplifying
m2 + 10m + -34 = 5

Reorder the terms:
-34 + 10m + m2 = 5

Solving
-34 + 10m + m2 = 5

Solving for variable 'm'.

Reorder the terms:
-34 + -5 + 10m + m2 = 5 + -5

Combine like terms: -34 + -5 = -39
-39 + 10m + m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-39 + 10m + m2 = 0

Factor a trinomial.
(-13 + -1m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-13 + -1m)' equal to zero and attempt to solve:

Simplifying
-13 + -1m = 0

Solving
-13 + -1m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1m = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1m = 0 + 13
-1m = 0 + 13

Combine like terms: 0 + 13 = 13
-1m = 13

Divide each side by '-1'.
m = -13

Simplifying
m = -13
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-13, 3}