(3m+5n)(3m-5n)=

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Solution for (3m+5n)(3m-5n)= equation: 


Simplifying
(3m + 5n)(3m + -5n) = 0

Multiply (3m + 5n) * (3m + -5n)
(3m * (3m + -5n) + 5n * (3m + -5n)) = 0
((3m * 3m + -5n * 3m) + 5n * (3m + -5n)) = 0

Reorder the terms:
((-15mn + 9m2) + 5n * (3m + -5n)) = 0
((-15mn + 9m2) + 5n * (3m + -5n)) = 0
(-15mn + 9m2 + (3m * 5n + -5n * 5n)) = 0
(-15mn + 9m2 + (15mn + -25n2)) = 0

Reorder the terms:
(-15mn + 15mn + 9m2 + -25n2) = 0

Combine like terms: -15mn + 15mn = 0
(0 + 9m2 + -25n2) = 0
(9m2 + -25n2) = 0

Solving
9m2 + -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.
9m2 + -25n2 + 25n2 = 0 + 25n2

Combine like terms: -25n2 + 25n2 = 0
9m2 + 0 = 0 + 25n2
9m2 = 0 + 25n2
Remove the zero:
9m2 = 25n2

Divide each side by '9'.
m2 = 2.777777778n2

Simplifying
m2 = 2.777777778n2

Take the square root of each side:
m = {-1.666666667n, 1.666666667n}

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