15m^2-28m=-12

Solution for 15m^2-28m=-12 equation:

Simplifying
15m2 + -28m = -12

Reorder the terms:
-28m + 15m2 = -12

Solving
-28m + 15m2 = -12

Solving for variable 'm'.

Reorder the terms:
12 + -28m + 15m2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -28m + 15m2 = 0

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

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}