(8m+9n)(8m-9n)=

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Solution for (8m+9n)(8m-9n)= equation: 


Simplifying
(8m + 9n)(8m + -9n) = 0

Multiply (8m + 9n) * (8m + -9n)
(8m * (8m + -9n) + 9n * (8m + -9n)) = 0
((8m * 8m + -9n * 8m) + 9n * (8m + -9n)) = 0

Reorder the terms:
((-72mn + 64m2) + 9n * (8m + -9n)) = 0
((-72mn + 64m2) + 9n * (8m + -9n)) = 0
(-72mn + 64m2 + (8m * 9n + -9n * 9n)) = 0
(-72mn + 64m2 + (72mn + -81n2)) = 0

Reorder the terms:
(-72mn + 72mn + 64m2 + -81n2) = 0

Combine like terms: -72mn + 72mn = 0
(0 + 64m2 + -81n2) = 0
(64m2 + -81n2) = 0

Solving
64m2 + -81n2 = 0

Solving for variable 'm'.

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

Add '81n2' to each side of the equation.
64m2 + -81n2 + 81n2 = 0 + 81n2

Combine like terms: -81n2 + 81n2 = 0
64m2 + 0 = 0 + 81n2
64m2 = 0 + 81n2
Remove the zero:
64m2 = 81n2

Divide each side by '64'.
m2 = 1.265625n2

Simplifying
m2 = 1.265625n2

Take the square root of each side:
m = {-1.125n, 1.125n}

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