5m^2+70m+65=0

Solution for 5m^2+70m+65=0 equation:

Simplifying
5m2 + 70m + 65 = 0

Reorder the terms:
65 + 70m + 5m2 = 0

Solving
65 + 70m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(13 + 14m + m2) = 0

Factor a trinomial.
5((13 + m)(1 + m)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(13 + m)' equal to zero and attempt to solve:

Simplifying
13 + m = 0

Solving
13 + m = 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 + m = 0 + -13

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

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

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1
Solution
m = {-13, -1}