(3m^2+5n)(3m^2-5n)=0

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Solution for (3m^2+5n)(3m^2-5n)=0 equation: 


Simplifying
(3m2 + 5n)(3m2 + -5n) = 0

Multiply (3m2 + 5n) * (3m2 + -5n)
(3m2 * (3m2 + -5n) + 5n * (3m2 + -5n)) = 0
((3m2 * 3m2 + -5n * 3m2) + 5n * (3m2 + -5n)) = 0

Reorder the terms:
((-15m2n + 9m4) + 5n * (3m2 + -5n)) = 0
((-15m2n + 9m4) + 5n * (3m2 + -5n)) = 0
(-15m2n + 9m4 + (3m2 * 5n + -5n * 5n)) = 0
(-15m2n + 9m4 + (15m2n + -25n2)) = 0

Reorder the terms:
(-15m2n + 15m2n + 9m4 + -25n2) = 0

Combine like terms: -15m2n + 15m2n = 0
(0 + 9m4 + -25n2) = 0
(9m4 + -25n2) = 0

Solving
9m4 + -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.
9m4 + -25n2 + 25n2 = 0 + 25n2

Combine like terms: -25n2 + 25n2 = 0
9m4 + 0 = 0 + 25n2
9m4 = 0 + 25n2
Remove the zero:
9m4 = 25n2

Divide each side by '9'.
m4 = 2.777777778n2

Simplifying
m4 = 2.777777778n2

Combine like terms: 2.777777778n2 + -2.777777778n2 = 0.000000000
m4 + -2.777777778n2 = 0.000000000

The solution to this equation could not be determined.

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