2a^3-18a+36a=0

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Solution for 2a^3-18a+36a=0 equation:


Simplifying
2a3 + -18a + 36a = 0

Reorder the terms:
-18a + 36a + 2a3 = 0

Combine like terms: -18a + 36a = 18a
18a + 2a3 = 0

Solving
18a + 2a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(9 + a2) = 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 '(9 + a2)' equal to zero and attempt to solve: Simplifying 9 + a2 = 0 Solving 9 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 = 0 + -9 a2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 = -9 Simplifying a2 = -9 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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