=(5m^2+12n)(-9m^2+15mn-5n^2)

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Solution for =(5m^2+12n)(-9m^2+15mn-5n^2) equation: 


Simplifying
0 = (5m2 + 12n)(-9m2 + 15mn + -5n2)

Reorder the terms:
0 = (5m2 + 12n)(15mn + -9m2 + -5n2)

Multiply (5m2 + 12n) * (15mn + -9m2 + -5n2)
0 = (5m2 * (15mn + -9m2 + -5n2) + 12n * (15mn + -9m2 + -5n2))
0 = ((15mn * 5m2 + -9m2 * 5m2 + -5n2 * 5m2) + 12n * (15mn + -9m2 + -5n2))

Reorder the terms:
0 = ((-25m2n2 + 75m3n + -45m4) + 12n * (15mn + -9m2 + -5n2))
0 = ((-25m2n2 + 75m3n + -45m4) + 12n * (15mn + -9m2 + -5n2))
0 = (-25m2n2 + 75m3n + -45m4 + (15mn * 12n + -9m2 * 12n + -5n2 * 12n))
0 = (-25m2n2 + 75m3n + -45m4 + (180mn2 + -108m2n + -60n3))

Reorder the terms:
0 = (180mn2 + -108m2n + -25m2n2 + 75m3n + -45m4 + -60n3)
0 = (180mn2 + -108m2n + -25m2n2 + 75m3n + -45m4 + -60n3)

Solving
0 = 180mn2 + -108m2n + -25m2n2 + 75m3n + -45m4 + -60n3

Solving for variable 'm'.
Remove the zero:
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 180mn2 + -108m2n + -25m2n2 + 75m3n + -45m4 + -60n3 + -180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3

Reorder the terms:
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 180mn2 + -180mn2 + -108m2n + 108m2n + -25m2n2 + 25m2n2 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3

Combine like terms: 180mn2 + -180mn2 = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0 + -108m2n + 108m2n + -25m2n2 + 25m2n2 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = -108m2n + 108m2n + -25m2n2 + 25m2n2 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3

Combine like terms: -108m2n + 108m2n = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0 + -25m2n2 + 25m2n2 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = -25m2n2 + 25m2n2 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3

Combine like terms: -25m2n2 + 25m2n2 = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0 + 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 75m3n + -75m3n + -45m4 + 45m4 + -60n3 + 60n3

Combine like terms: 75m3n + -75m3n = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0 + -45m4 + 45m4 + -60n3 + 60n3
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = -45m4 + 45m4 + -60n3 + 60n3

Combine like terms: -45m4 + 45m4 = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0 + -60n3 + 60n3
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = -60n3 + 60n3

Combine like terms: -60n3 + 60n3 = 0
-180mn2 + 108m2n + 25m2n2 + -75m3n + 45m4 + 60n3 = 0

The solution to this equation could not be determined.

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