(6m)(7n+8p)=

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Solution for (6m)(7n+8p)= equation: 


Simplifying
(6m)(7n + 8p) = 0

Remove parenthesis around (6m)
6m(7n + 8p) = 0
(7n * 6m + 8p * 6m) = 0
(42mn + 48mp) = 0

Solving
42mn + 48mp = 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), '6m'.
6m(7n + 8p) = 0

Ignore the factor 6.

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 '(7n + 8p)' equal to zero and attempt to solve:

Simplifying
7n + 8p = 0

Solving
7n + 8p = 0

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

Add '-7n' to each side of the equation.
7n + -7n + 8p = 0 + -7n

Combine like terms: 7n + -7n = 0
0 + 8p = 0 + -7n
8p = 0 + -7n
Remove the zero:
8p = -7n

Add '-8p' to each side of the equation.
8p + -8p = -7n + -8p

Combine like terms: 8p + -8p = 0
0 = -7n + -8p

Simplifying
0 = -7n + -8p

The solution to this equation could not be determined.

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

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