-2m(m-30)=-6m

Solution for -2m(m-30)=-6m equation:

Simplifying
-2m(m + -30) = -6m

Reorder the terms:
-2m(-30 + m) = -6m
(-30 * -2m + m * -2m) = -6m
(60m + -2m2) = -6m

Solving
60m + -2m2 = -6m

Solving for variable 'm'.

Reorder the terms:
60m + 6m + -2m2 = -6m + 6m

Combine like terms: 60m + 6m = 66m
66m + -2m2 = -6m + 6m

Combine like terms: -6m + 6m = 0
66m + -2m2 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(33 + -1m) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(33 + -1m)' equal to zero and attempt to solve:

Simplifying
33 + -1m = 0

Solving
33 + -1m = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1m = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1m = 0 + -33
-1m = 0 + -33

Combine like terms: 0 + -33 = -33
-1m = -33

Divide each side by '-1'.
m = 33

Simplifying
m = 33
Solution
m = {0, 33}