5a^3-15a=0

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Solution for 5a^3-15a=0 equation:


Simplifying
5a3 + -15a = 0

Reorder the terms:
-15a + 5a3 = 0

Solving
-15a + 5a3 = 0

Solving for variable 'a'.

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

Ignore the factor 5.

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 '(-3 + a2)' equal to zero and attempt to solve: Simplifying -3 + a2 = 0 Solving -3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a2 = 0 + 3 a2 = 0 + 3 Combine like terms: 0 + 3 = 3 a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}

Solution

a = {0, -1.732050808, 1.732050808}

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