(6a^3-3b^3)(4a^2+5b^2)=

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Solution for (6a^3-3b^3)(4a^2+5b^2)= equation: 


Simplifying
(6a3 + -3b3)(4a2 + 5b2) = 0

Multiply (6a3 + -3b3) * (4a2 + 5b2)
(6a3 * (4a2 + 5b2) + -3b3 * (4a2 + 5b2)) = 0
((4a2 * 6a3 + 5b2 * 6a3) + -3b3 * (4a2 + 5b2)) = 0

Reorder the terms:
((30a3b2 + 24a5) + -3b3 * (4a2 + 5b2)) = 0
((30a3b2 + 24a5) + -3b3 * (4a2 + 5b2)) = 0
(30a3b2 + 24a5 + (4a2 * -3b3 + 5b2 * -3b3)) = 0
(30a3b2 + 24a5 + (-12a2b3 + -15b5)) = 0

Reorder the terms:
(-12a2b3 + 30a3b2 + 24a5 + -15b5) = 0
(-12a2b3 + 30a3b2 + 24a5 + -15b5) = 0

Solving
-12a2b3 + 30a3b2 + 24a5 + -15b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4a2b3 + 10a3b2 + 8a5 + -5b5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4a2b3 + 10a3b2 + 8a5 + -5b5)' equal to zero and attempt to solve:

Simplifying
-4a2b3 + 10a3b2 + 8a5 + -5b5 = 0

Solving
-4a2b3 + 10a3b2 + 8a5 + -5b5 = 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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