0=7m^2-42m

Solution for 0=7m^2-42m equation:

Simplifying
0 = 7m2 + -42m

Reorder the terms:
0 = -42m + 7m2

Solving
0 = -42m + 7m2

Solving for variable 'm'.
Remove the zero:
42m + -7m2 = -42m + 7m2 + 42m + -7m2

Reorder the terms:
42m + -7m2 = -42m + 42m + 7m2 + -7m2

Combine like terms: -42m + 42m = 0
42m + -7m2 = 0 + 7m2 + -7m2
42m + -7m2 = 7m2 + -7m2

Combine like terms: 7m2 + -7m2 = 0
42m + -7m2 = 0

Factor out the Greatest Common Factor (GCF), '7m'.
7m(6 + -1m) = 0

Ignore the factor 7.
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 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

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