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Simplifying 15a3 = 11a2 Solving 15a3 = 11a2 Solving for variable 'a'. Reorder the terms: -11a2 + 15a3 = 11a2 + -11a2 Combine like terms: 11a2 + -11a2 = 0 -11a2 + 15a3 = 0 Factor out the Greatest Common Factor (GCF), 'a2'. a2(-11 + 15a) = 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 '(-11 + 15a)' equal to zero and attempt to solve: Simplifying -11 + 15a = 0 Solving -11 + 15a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15a = 0 + 11 15a = 0 + 11 Combine like terms: 0 + 11 = 11 15a = 11 Divide each side by '15'. a = 0.7333333333 Simplifying a = 0.7333333333Solution
a = {0, 0.7333333333}
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