9a^3+66a^2-48a=0

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Solution for 9a^3+66a^2-48a=0 equation:


Simplifying
9a3 + 66a2 + -48a = 0

Reorder the terms:
-48a + 66a2 + 9a3 = 0

Solving
-48a + 66a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-16 + 22a + 3a2) = 0

Factor a trinomial.
3a((-8 + -1a)(2 + -3a)) = 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 '(-8 + -1a)' equal to zero and attempt to solve: Simplifying -8 + -1a = 0 Solving -8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = 0 + 8 -1a = 0 + 8 Combine like terms: 0 + 8 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8

Subproblem 3

Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667

Solution

a = {0, -8, 0.6666666667}

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