8m[-6n-7(-5-m)]=

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Solution for 8m[-6n-7(-5-m)]= equation: 


Simplifying
8m[-6n + -7(-5 + -1m)] = 0
8m[-6n + (-5 * -7 + -1m * -7)] = 0
8m[-6n + (35 + 7m)] = 0

Reorder the terms:
8m[35 + 7m + -6n] = 0
[35 * 8m + 7m * 8m + -6n * 8m] = 0

Reorder the terms:
[280m + -48mn + 56m2] = 0
[280m + -48mn + 56m2] = 0

Solving
280m + -48mn + 56m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8m'.
8m(35 + -6n + 7m) = 0

Ignore the factor 8.

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 '(35 + -6n + 7m)' equal to zero and attempt to solve:

Simplifying
35 + -6n + 7m = 0

Reorder the terms:
35 + 7m + -6n = 0

Solving
35 + 7m + -6n = 0

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

Add '-35' to each side of the equation.
35 + 7m + -35 + -6n = 0 + -35

Reorder the terms:
35 + -35 + 7m + -6n = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 7m + -6n = 0 + -35
7m + -6n = 0 + -35

Combine like terms: 0 + -35 = -35
7m + -6n = -35

Add '6n' to each side of the equation.
7m + -6n + 6n = -35 + 6n

Combine like terms: -6n + 6n = 0
7m + 0 = -35 + 6n
7m = -35 + 6n

Divide each side by '7'.
m = -5 + 0.8571428571n

Simplifying
m = -5 + 0.8571428571n
Solution
m = {0, -5 + 0.8571428571n}

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