7m(2m+21)=0

Solution for 7m(2m+21)=0 equation:

Simplifying
7m(2m + 21) = 0

Reorder the terms:
7m(21 + 2m) = 0
(21 * 7m + 2m * 7m) = 0
(147m + 14m2) = 0

Solving
147m + 14m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m'.
7m(21 + 2m) = 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 '(21 + 2m)' equal to zero and attempt to solve:

Simplifying
21 + 2m = 0

Solving
21 + 2m = 0

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

Add '-21' to each side of the equation.
21 + -21 + 2m = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2m = 0 + -21
2m = 0 + -21

Combine like terms: 0 + -21 = -21
2m = -21

Divide each side by '2'.
m = -10.5

Simplifying
m = -10.5
Solution
m = {0, -10.5}