4(m^2-3m)=-9

Solution for 4(m^2-3m)=-9 equation:

Simplifying
4(m2 + -3m) = -9

Reorder the terms:
4(-3m + m2) = -9
(-3m * 4 + m2 * 4) = -9
(-12m + 4m2) = -9

Solving
-12m + 4m2 = -9

Solving for variable 'm'.

Reorder the terms:
9 + -12m + 4m2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -12m + 4m2 = 0

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

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

Simplifying
3 + -2m = 0

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

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

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

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

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

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

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

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {1.5, 1.5}