7m^2+65m+18=0

Solution for 7m^2+65m+18=0 equation:

Simplifying
7m2 + 65m + 18 = 0

Reorder the terms:
18 + 65m + 7m2 = 0

Solving
18 + 65m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + m)(2 + 7m) = 0

Subproblem 1
Set the factor '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Subproblem 2
Set the factor '(2 + 7m)' equal to zero and attempt to solve:

Simplifying
2 + 7m = 0

Solving
2 + 7m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7m = 0 + -2
7m = 0 + -2

Combine like terms: 0 + -2 = -2
7m = -2

Divide each side by '7'.
m = -0.2857142857

Simplifying
m = -0.2857142857
Solution
m = {-9, -0.2857142857}