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

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


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

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

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

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

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

Solving
64m2 + -25n2 = 0

Solving for variable 'm'.

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

Add '25n2' to each side of the equation.
64m2 + -25n2 + 25n2 = 0 + 25n2

Combine like terms: -25n2 + 25n2 = 0
64m2 + 0 = 0 + 25n2
64m2 = 0 + 25n2
Remove the zero:
64m2 = 25n2

Divide each side by '64'.
m2 = 0.390625n2

Simplifying
m2 = 0.390625n2

Take the square root of each side:
m = {-0.625n, 0.625n}

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