(5m^2-8m-3)(15m+20n)=

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Solution for (5m^2-8m-3)(15m+20n)= equation: 


Simplifying
(5m2 + -8m + -3)(15m + 20n) = 0

Reorder the terms:
(-3 + -8m + 5m2)(15m + 20n) = 0

Multiply (-3 + -8m + 5m2) * (15m + 20n)
(-3(15m + 20n) + -8m * (15m + 20n) + 5m2 * (15m + 20n)) = 0
((15m * -3 + 20n * -3) + -8m * (15m + 20n) + 5m2 * (15m + 20n)) = 0
((-45m + -60n) + -8m * (15m + 20n) + 5m2 * (15m + 20n)) = 0
(-45m + -60n + (15m * -8m + 20n * -8m) + 5m2 * (15m + 20n)) = 0

Reorder the terms:
(-45m + -60n + (-160mn + -120m2) + 5m2 * (15m + 20n)) = 0
(-45m + -60n + (-160mn + -120m2) + 5m2 * (15m + 20n)) = 0
(-45m + -60n + -160mn + -120m2 + (15m * 5m2 + 20n * 5m2)) = 0

Reorder the terms:
(-45m + -60n + -160mn + -120m2 + (100m2n + 75m3)) = 0
(-45m + -60n + -160mn + -120m2 + (100m2n + 75m3)) = 0

Reorder the terms:
(-45m + -160mn + -120m2 + 100m2n + 75m3 + -60n) = 0
(-45m + -160mn + -120m2 + 100m2n + 75m3 + -60n) = 0

Solving
-45m + -160mn + -120m2 + 100m2n + 75m3 + -60n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9m + -32mn + -24m2 + 20m2n + 15m3 + -12n) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9m + -32mn + -24m2 + 20m2n + 15m3 + -12n)' equal to zero and attempt to solve:

Simplifying
-9m + -32mn + -24m2 + 20m2n + 15m3 + -12n = 0

Solving
-9m + -32mn + -24m2 + 20m2n + 15m3 + -12n = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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