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Simplifying 2a2 + -3a3 + -5a3 + a2 = 0 Reorder the terms: 2a2 + a2 + -3a3 + -5a3 = 0 Combine like terms: 2a2 + a2 = 3a2 3a2 + -3a3 + -5a3 = 0 Combine like terms: -3a3 + -5a3 = -8a3 3a2 + -8a3 = 0 Solving 3a2 + -8a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(3 + -8a) = 0Subproblem 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 '(3 + -8a)' equal to zero and attempt to solve: Simplifying 3 + -8a = 0 Solving 3 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8a = 0 + -3 -8a = 0 + -3 Combine like terms: 0 + -3 = -3 -8a = -3 Divide each side by '-8'. a = 0.375 Simplifying a = 0.375Solution
a = {0, 0.375}
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