9M^2+12M-12=0

Solution for 9M^2+12M-12=0 equation:

Simplifying
9M2 + 12M + -12 = 0

Reorder the terms:
-12 + 12M + 9M2 = 0

Solving
-12 + 12M + 9M2 = 0

Solving for variable 'M'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 4M + 3M2) = 0

Factor a trinomial.
3((-2 + -1M)(2 + -3M)) = 0

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

Simplifying
-2 + -1M = 0

Solving
-2 + -1M = 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 + -1M = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1M = 0 + 2
-1M = 0 + 2

Combine like terms: 0 + 2 = 2
-1M = 2

Divide each side by '-1'.
M = -2

Simplifying
M = -2
Subproblem 2
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
Solution
M = {-2, 0.6666666667}