5a^2(3a^3+15)=

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Solution for 5a^2(3a^3+15)= equation:


Simplifying
5a2(3a3 + 15) = 0

Reorder the terms:
5a2(15 + 3a3) = 0
(15 * 5a2 + 3a3 * 5a2) = 0
(75a2 + 15a5) = 0

Solving
75a2 + 15a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '15a2'.
15a2(5 + a3) = 0

Ignore the factor 15.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(5 + a3)' equal to zero and attempt to solve: Simplifying 5 + a3 = 0 Solving 5 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a3 = 0 + -5 a3 = 0 + -5 Combine like terms: 0 + -5 = -5 a3 = -5 Simplifying a3 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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