8a^2(6a^3-9)=

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Solution for 8a^2(6a^3-9)= equation:


Simplifying
8a2(6a3 + -9) = 0

Reorder the terms:
8a2(-9 + 6a3) = 0
(-9 * 8a2 + 6a3 * 8a2) = 0
(-72a2 + 48a5) = 0

Solving
-72a2 + 48a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a2'.
24a2(-3 + 2a3) = 0

Ignore the factor 24.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(-3 + 2a3)' equal to zero and attempt to solve: Simplifying -3 + 2a3 = 0 Solving -3 + 2a3 = 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 + 2a3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a3 = 0 + 3 2a3 = 0 + 3 Combine like terms: 0 + 3 = 3 2a3 = 3 Divide each side by '2'. a3 = 1.5 Simplifying a3 = 1.5 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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