(3x^3+6y^2)(2x-5y^3)=

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Solution for (3x^3+6y^2)(2x-5y^3)= equation: 


Simplifying
(3x3 + 6y2)(2x + -5y3) = 0

Multiply (3x3 + 6y2) * (2x + -5y3)
(3x3 * (2x + -5y3) + 6y2 * (2x + -5y3)) = 0
((2x * 3x3 + -5y3 * 3x3) + 6y2 * (2x + -5y3)) = 0

Reorder the terms:
((-15x3y3 + 6x4) + 6y2 * (2x + -5y3)) = 0
((-15x3y3 + 6x4) + 6y2 * (2x + -5y3)) = 0
(-15x3y3 + 6x4 + (2x * 6y2 + -5y3 * 6y2)) = 0
(-15x3y3 + 6x4 + (12xy2 + -30y5)) = 0

Reorder the terms:
(12xy2 + -15x3y3 + 6x4 + -30y5) = 0
(12xy2 + -15x3y3 + 6x4 + -30y5) = 0

Solving
12xy2 + -15x3y3 + 6x4 + -30y5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4xy2 + -5x3y3 + 2x4 + -10y5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4xy2 + -5x3y3 + 2x4 + -10y5)' equal to zero and attempt to solve:

Simplifying
4xy2 + -5x3y3 + 2x4 + -10y5 = 0

Solving
4xy2 + -5x3y3 + 2x4 + -10y5 = 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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