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

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


Simplifying
5a3(3a2b + 6b2 + 5a + -6) = 0

Reorder the terms:
5a3(-6 + 5a + 3a2b + 6b2) = 0
(-6 * 5a3 + 5a * 5a3 + 3a2b * 5a3 + 6b2 * 5a3) = 0

Reorder the terms:
(-30a3 + 30a3b2 + 25a4 + 15a5b) = 0
(-30a3 + 30a3b2 + 25a4 + 15a5b) = 0

Solving
-30a3 + 30a3b2 + 25a4 + 15a5b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a3'.
5a3(-6 + 6b2 + 5a + 3a2b) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-6 + 6b2 + 5a + 3a2b)' equal to zero and attempt to solve: Simplifying -6 + 6b2 + 5a + 3a2b = 0 Reorder the terms: -6 + 5a + 3a2b + 6b2 = 0 Solving -6 + 5a + 3a2b + 6b2 = 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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