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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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