=5m^2+11m-12

Solution for =5m^2+11m-12 equation:

Simplifying
0 = 5m2 + 11m + -12

Reorder the terms:
0 = -12 + 11m + 5m2

Solving
0 = -12 + 11m + 5m2

Solving for variable 'm'.

Combine like terms: 0 + 12 = 12
12 + -11m + -5m2 = -12 + 11m + 5m2 + 12 + -11m + -5m2

Reorder the terms:
12 + -11m + -5m2 = -12 + 12 + 11m + -11m + 5m2 + -5m2

Combine like terms: -12 + 12 = 0
12 + -11m + -5m2 = 0 + 11m + -11m + 5m2 + -5m2
12 + -11m + -5m2 = 11m + -11m + 5m2 + -5m2

Combine like terms: 11m + -11m = 0
12 + -11m + -5m2 = 0 + 5m2 + -5m2
12 + -11m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
12 + -11m + -5m2 = 0

Factor a trinomial.
(4 + -5m)(3 + m) = 0

Subproblem 1
Set the factor '(4 + -5m)' equal to zero and attempt to solve:

Simplifying
4 + -5m = 0

Solving
4 + -5m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5m = 0 + -4
-5m = 0 + -4

Combine like terms: 0 + -4 = -4
-5m = -4

Divide each side by '-5'.
m = 0.8

Simplifying
m = 0.8
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

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

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

Simplifying
m = -3
Solution
m = {0.8, -3}