-84m=-36-45m^2

Solution for -84m=-36-45m^2 equation:

Simplifying
-84m = -36 + -45m2

Solving
-84m = -36 + -45m2

Solving for variable 'm'.

Reorder the terms:
36 + -84m + 45m2 = -36 + -45m2 + 36 + 45m2

Reorder the terms:
36 + -84m + 45m2 = -36 + 36 + -45m2 + 45m2

Combine like terms: -36 + 36 = 0
36 + -84m + 45m2 = 0 + -45m2 + 45m2
36 + -84m + 45m2 = -45m2 + 45m2

Combine like terms: -45m2 + 45m2 = 0
36 + -84m + 45m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -28m + 15m2) = 0

Factor a trinomial.
3((2 + -3m)(6 + -5m)) = 0

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

Simplifying
2 + -3m = 0

Solving
2 + -3m = 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 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve:

Simplifying
6 + -5m = 0

Solving
6 + -5m = 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 + -5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 0 + -6
-5m = 0 + -6

Combine like terms: 0 + -6 = -6
-5m = -6

Divide each side by '-5'.
m = 1.2

Simplifying
m = 1.2
Solution
m = {0.6666666667, 1.2}