7mn-14mp-21mq=

Solution for 7mn-14mp-21mq= equation:

Simplifying
7mn + -14mp + -21mq = 0

Solving
7mn + -14mp + -21mq = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), '7m'.
7m(n + -2p + -3q) = 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 '(n + -2p + -3q)' equal to zero and attempt to solve:

Simplifying
n + -2p + -3q = 0

Solving
n + -2p + -3q = 0

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

Add '-1n' to each side of the equation.
n + -2p + -1n + -3q = 0 + -1n

Reorder the terms:
n + -1n + -2p + -3q = 0 + -1n

Combine like terms: n + -1n = 0
0 + -2p + -3q = 0 + -1n
-2p + -3q = 0 + -1n
Remove the zero:
-2p + -3q = -1n

Add '2p' to each side of the equation.
-2p + 2p + -3q = -1n + 2p

Combine like terms: -2p + 2p = 0
0 + -3q = -1n + 2p
-3q = -1n + 2p

Add '3q' to each side of the equation.
-3q + 3q = -1n + 2p + 3q

Combine like terms: -3q + 3q = 0
0 = -1n + 2p + 3q

Simplifying
0 = -1n + 2p + 3q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}