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Simplifying 15a3 + -20a2 = 0 Reorder the terms: -20a2 + 15a3 = 0 Solving -20a2 + 15a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2'. 5a2(-4 + 3a) = 0 Ignore the factor 5.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 + 3a)' equal to zero and attempt to solve: Simplifying -4 + 3a = 0 Solving -4 + 3a = 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 + 3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 0 + 4 3a = 0 + 4 Combine like terms: 0 + 4 = 4 3a = 4 Divide each side by '3'. a = 1.333333333 Simplifying a = 1.333333333Solution
a = {0, 1.333333333}
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