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Simplifying 30a6 + -24a2 = 0 Reorder the terms: -24a2 + 30a6 = 0 Solving -24a2 + 30a6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a2'. 6a2(-4 + 5a4) = 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 + 5a4)' equal to zero and attempt to solve: Simplifying -4 + 5a4 = 0 Solving -4 + 5a4 = 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 + 5a4 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5a4 = 0 + 4 5a4 = 0 + 4 Combine like terms: 0 + 4 = 4 5a4 = 4 Divide each side by '5'. a4 = 0.8 Simplifying a4 = 0.8 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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