7m(5m+4n)=0

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Solution for 7m(5m+4n)=0 equation: 


Simplifying
7m(5m + 4n) = 0
(5m * 7m + 4n * 7m) = 0

Reorder the terms:
(28mn + 35m2) = 0
(28mn + 35m2) = 0

Solving
28mn + 35m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m'.
7m(4n + 5m) = 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 '(4n + 5m)' equal to zero and attempt to solve:

Simplifying
4n + 5m = 0

Reorder the terms:
5m + 4n = 0

Solving
5m + 4n = 0

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

Add '-4n' to each side of the equation.
5m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
5m + 0 = 0 + -4n
5m = 0 + -4n
Remove the zero:
5m = -4n

Divide each side by '5'.
m = -0.8n

Simplifying
m = -0.8n
Solution
m = {0, -0.8n}

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