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Simplifying 16a5 + -20a3 = 0 Reorder the terms: -20a3 + 16a5 = 0 Solving -20a3 + 16a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a3'. 4a3(-5 + 4a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + 4a2)' equal to zero and attempt to solve: Simplifying -5 + 4a2 = 0 Solving -5 + 4a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4a2 = 0 + 5 4a2 = 0 + 5 Combine like terms: 0 + 5 = 5 4a2 = 5 Divide each side by '4'. a2 = 1.25 Simplifying a2 = 1.25 Take the square root of each side: a = {-1.118033989, 1.118033989}Solution
a = {-1.118033989, 1.118033989}
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