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Simplifying 10a3 = -8a2 Solving 10a3 = -8a2 Solving for variable 'a'. Reorder the terms: 8a2 + 10a3 = -8a2 + 8a2 Combine like terms: -8a2 + 8a2 = 0 8a2 + 10a3 = 0 Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(4 + 5a) = 0 Ignore the factor 2.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 + 5a)' equal to zero and attempt to solve: Simplifying 4 + 5a = 0 Solving 4 + 5a = 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 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Solution
a = {0, -0.8}
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