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Simplifying 15a2 = 36a Solving 15a2 = 36a Solving for variable 'a'. Reorder the terms: -36a + 15a2 = 36a + -36a Combine like terms: 36a + -36a = 0 -36a + 15a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-12 + 5a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-12 + 5a)' equal to zero and attempt to solve: Simplifying -12 + 5a = 0 Solving -12 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 0 + 12 5a = 0 + 12 Combine like terms: 0 + 12 = 12 5a = 12 Divide each side by '5'. a = 2.4 Simplifying a = 2.4Solution
a = {0, 2.4}
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