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Simplifying 288a5 + -200a3 = 0 Reorder the terms: -200a3 + 288a5 = 0 Solving -200a3 + 288a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a3'. 8a3(-25 + 36a2) = 0 Factor a difference between two squares. 8a3((5 + 6a)(-5 + 6a)) = 0 Ignore the factor 8.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 + 6a)' equal to zero and attempt to solve: Simplifying 5 + 6a = 0 Solving 5 + 6a = 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 + 6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 0 + -5 6a = 0 + -5 Combine like terms: 0 + -5 = -5 6a = -5 Divide each side by '6'. a = -0.8333333333 Simplifying a = -0.8333333333Subproblem 3
Set the factor '(-5 + 6a)' equal to zero and attempt to solve: Simplifying -5 + 6a = 0 Solving -5 + 6a = 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 + 6a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 0 + 5 6a = 0 + 5 Combine like terms: 0 + 5 = 5 6a = 5 Divide each side by '6'. a = 0.8333333333 Simplifying a = 0.8333333333Solution
a = {-0.8333333333, 0.8333333333}
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