(8m+7n)(8m-7n)=

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


Simplifying
(8m + 7n)(8m + -7n) = 0

Multiply (8m + 7n) * (8m + -7n)
(8m * (8m + -7n) + 7n * (8m + -7n)) = 0
((8m * 8m + -7n * 8m) + 7n * (8m + -7n)) = 0

Reorder the terms:
((-56mn + 64m2) + 7n * (8m + -7n)) = 0
((-56mn + 64m2) + 7n * (8m + -7n)) = 0
(-56mn + 64m2 + (8m * 7n + -7n * 7n)) = 0
(-56mn + 64m2 + (56mn + -49n2)) = 0

Reorder the terms:
(-56mn + 56mn + 64m2 + -49n2) = 0

Combine like terms: -56mn + 56mn = 0
(0 + 64m2 + -49n2) = 0
(64m2 + -49n2) = 0

Solving
64m2 + -49n2 = 0

Solving for variable 'm'.

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

Add '49n2' to each side of the equation.
64m2 + -49n2 + 49n2 = 0 + 49n2

Combine like terms: -49n2 + 49n2 = 0
64m2 + 0 = 0 + 49n2
64m2 = 0 + 49n2
Remove the zero:
64m2 = 49n2

Divide each side by '64'.
m2 = 0.765625n2

Simplifying
m2 = 0.765625n2

Take the square root of each side:
m = {-0.875n, 0.875n}

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