7m(2m-12)=0

Solution for 7m(2m-12)=0 equation:

Simplifying
7m(2m + -12) = 0

Reorder the terms:
7m(-12 + 2m) = 0
(-12 * 7m + 2m * 7m) = 0
(-84m + 14m2) = 0

Solving
-84m + 14m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '14m'.
14m(-6 + m) = 0

Ignore the factor 14.
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 '(-6 + m)' equal to zero and attempt to solve:

Simplifying
-6 + m = 0

Solving
-6 + m = 0

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

Add '6' to each side of the equation.
-6 + 6 + m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + m = 0 + 6
m = 0 + 6

Combine like terms: 0 + 6 = 6
m = 6

Simplifying
m = 6
Solution
m = {0, 6}