2m(m+3)-3m(m+2)=0

Solution for 2m(m+3)-3m(m+2)=0 equation:

Simplifying
2m(m + 3) + -3m(m + 2) = 0

Reorder the terms:
2m(3 + m) + -3m(m + 2) = 0
(3 * 2m + m * 2m) + -3m(m + 2) = 0
(6m + 2m2) + -3m(m + 2) = 0

Reorder the terms:
6m + 2m2 + -3m(2 + m) = 0
6m + 2m2 + (2 * -3m + m * -3m) = 0
6m + 2m2 + (-6m + -3m2) = 0

Reorder the terms:
6m + -6m + 2m2 + -3m2 = 0

Combine like terms: 6m + -6m = 0
0 + 2m2 + -3m2 = 0
2m2 + -3m2 = 0

Combine like terms: 2m2 + -3m2 = -1m2
-1m2 = 0

Solving
-1m2 = 0

Solving for variable 'm'.

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

Divide each side by '-1'.
m2 = 0

Simplifying
m2 = 0

Take the square root of each side:
m = {0}