5m^2+36m+7=0

Solution for 5m^2+36m+7=0 equation:

Simplifying
5m2 + 36m + 7 = 0

Reorder the terms:
7 + 36m + 5m2 = 0

Solving
7 + 36m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + m)(1 + 5m) = 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 '(1 + 5m)' equal to zero and attempt to solve:

Simplifying
1 + 5m = 0

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

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

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

Divide each side by '5'.
m = -0.2

Simplifying
m = -0.2
Solution
m = {-7, -0.2}