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Simplifying 0 = 3a2(6a3 + -8) Reorder the terms: 0 = 3a2(-8 + 6a3) 0 = (-8 * 3a2 + 6a3 * 3a2) 0 = (-24a2 + 18a5) Solving 0 = -24a2 + 18a5 Solving for variable 'a'. Remove the zero: 24a2 + -18a5 = -24a2 + 18a5 + 24a2 + -18a5 Reorder the terms: 24a2 + -18a5 = -24a2 + 24a2 + 18a5 + -18a5 Combine like terms: -24a2 + 24a2 = 0 24a2 + -18a5 = 0 + 18a5 + -18a5 24a2 + -18a5 = 18a5 + -18a5 Combine like terms: 18a5 + -18a5 = 0 24a2 + -18a5 = 0 Factor out the Greatest Common Factor (GCF), '6a2'. 6a2(4 + -3a3) = 0 Ignore the factor 6.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 '(4 + -3a3)' equal to zero and attempt to solve: Simplifying 4 + -3a3 = 0 Solving 4 + -3a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3a3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a3 = 0 + -4 -3a3 = 0 + -4 Combine like terms: 0 + -4 = -4 -3a3 = -4 Divide each side by '-3'. a3 = 1.333333333 Simplifying a3 = 1.333333333 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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