10a+6a^3=0

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Solution for 10a+6a^3=0 equation:


Simplifying
10a + 6a3 = 0

Solving
10a + 6a3 = 0

Solving for variable 'a'.

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

Ignore the factor 2.

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 + 3a2)' equal to zero and attempt to solve: Simplifying 5 + 3a2 = 0 Solving 5 + 3a2 = 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 + 3a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a2 = 0 + -5 3a2 = 0 + -5 Combine like terms: 0 + -5 = -5 3a2 = -5 Divide each side by '3'. a2 = -1.666666667 Simplifying a2 = -1.666666667 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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