=6a^3+15a

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Solution for =6a^3+15a equation:


Simplifying
0 = 6a3 + 15a

Reorder the terms:
0 = 15a + 6a3

Solving
0 = 15a + 6a3

Solving for variable 'a'.
Remove the zero:
-15a + -6a3 = 15a + 6a3 + -15a + -6a3

Reorder the terms:
-15a + -6a3 = 15a + -15a + 6a3 + -6a3

Combine like terms: 15a + -15a = 0
-15a + -6a3 = 0 + 6a3 + -6a3
-15a + -6a3 = 6a3 + -6a3

Combine like terms: 6a3 + -6a3 = 0
-15a + -6a3 = 0

Factor out the Greatest Common Factor (GCF), '-3a'.
-3a(5 + 2a2) = 0

Ignore the factor -3.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(5 + 2a2)' equal to zero and attempt to solve: Simplifying 5 + 2a2 = 0 Solving 5 + 2a2 = 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 + 2a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a2 = 0 + -5 2a2 = 0 + -5 Combine like terms: 0 + -5 = -5 2a2 = -5 Divide each side by '2'. a2 = -2.5 Simplifying a2 = -2.5 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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