(5m-8n)(8n-5m)=

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Solution for (5m-8n)(8n-5m)= equation: 


Simplifying
(5m + -8n)(8n + -5m) = 0

Reorder the terms:
(5m + -8n)(-5m + 8n) = 0

Multiply (5m + -8n) * (-5m + 8n)
(5m * (-5m + 8n) + -8n * (-5m + 8n)) = 0
((-5m * 5m + 8n * 5m) + -8n * (-5m + 8n)) = 0

Reorder the terms:
((40mn + -25m2) + -8n * (-5m + 8n)) = 0
((40mn + -25m2) + -8n * (-5m + 8n)) = 0
(40mn + -25m2 + (-5m * -8n + 8n * -8n)) = 0
(40mn + -25m2 + (40mn + -64n2)) = 0

Reorder the terms:
(40mn + 40mn + -25m2 + -64n2) = 0

Combine like terms: 40mn + 40mn = 80mn
(80mn + -25m2 + -64n2) = 0

Solving
80mn + -25m2 + -64n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5m + 8n)(5m + -8n) = 0


Subproblem 1
Set the factor '(-5m + 8n)' equal to zero and attempt to solve:

Simplifying
-5m + 8n = 0

Solving
-5m + 8n = 0

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

Add '-8n' to each side of the equation.
-5m + 8n + -8n = 0 + -8n

Combine like terms: 8n + -8n = 0
-5m + 0 = 0 + -8n
-5m = 0 + -8n
Remove the zero:
-5m = -8n

Divide each side by '-5'.
m = 1.6n

Simplifying
m = 1.6n

Subproblem 2
Set the factor '(5m + -8n)' equal to zero and attempt to solve:

Simplifying
5m + -8n = 0

Solving
5m + -8n = 0

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

Add '8n' to each side of the equation.
5m + -8n + 8n = 0 + 8n

Combine like terms: -8n + 8n = 0
5m + 0 = 0 + 8n
5m = 0 + 8n
Remove the zero:
5m = 8n

Divide each side by '5'.
m = 1.6n

Simplifying
m = 1.6n
Solution
m = {1.6n, 1.6n}

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