3(4-3m)(4+3m)=0

Solution for 3(4-3m)(4+3m)=0 equation:

Simplifying
3(4 + -3m)(4 + 3m) = 0

Multiply (4 + -3m) * (4 + 3m)
3(4(4 + 3m) + -3m * (4 + 3m)) = 0
3((4 * 4 + 3m * 4) + -3m * (4 + 3m)) = 0
3((16 + 12m) + -3m * (4 + 3m)) = 0
3(16 + 12m + (4 * -3m + 3m * -3m)) = 0
3(16 + 12m + (-12m + -9m2)) = 0

Combine like terms: 12m + -12m = 0
3(16 + 0 + -9m2) = 0
3(16 + -9m2) = 0
(16 * 3 + -9m2 * 3) = 0
(48 + -27m2) = 0

Solving
48 + -27m2 = 0

Solving for variable 'm'.

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

Add '-48' to each side of the equation.
48 + -48 + -27m2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -27m2 = 0 + -48
-27m2 = 0 + -48

Combine like terms: 0 + -48 = -48
-27m2 = -48

Divide each side by '-27'.
m2 = 1.777777778

Simplifying
m2 = 1.777777778

Take the square root of each side:
m = {-1.333333333, 1.333333333}