9m^2+17m+30=7m^2

Solution for 9m^2+17m+30=7m^2 equation:

Simplifying
9m2 + 17m + 30 = 7m2

Reorder the terms:
30 + 17m + 9m2 = 7m2

Solving
30 + 17m + 9m2 = 7m2

Solving for variable 'm'.

Combine like terms: 9m2 + -7m2 = 2m2
30 + 17m + 2m2 = 7m2 + -7m2

Combine like terms: 7m2 + -7m2 = 0
30 + 17m + 2m2 = 0

Factor a trinomial.
(6 + m)(5 + 2m) = 0

Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(5 + 2m)' equal to zero and attempt to solve:

Simplifying
5 + 2m = 0

Solving
5 + 2m = 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 + 2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2m = 0 + -5
2m = 0 + -5

Combine like terms: 0 + -5 = -5
2m = -5

Divide each side by '2'.
m = -2.5

Simplifying
m = -2.5
Solution
m = {-6, -2.5}