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Simplifying 36a2 + 54a = 6a2 Reorder the terms: 54a + 36a2 = 6a2 Solving 54a + 36a2 = 6a2 Solving for variable 'a'. Combine like terms: 36a2 + -6a2 = 30a2 54a + 30a2 = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 54a + 30a2 = 0 Factor out the Greatest Common Factor (GCF), '6a'. 6a(9 + 5a) = 0 Ignore the factor 6.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 '(9 + 5a)' equal to zero and attempt to solve: Simplifying 9 + 5a = 0 Solving 9 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 0 + -9 5a = 0 + -9 Combine like terms: 0 + -9 = -9 5a = -9 Divide each side by '5'. a = -1.8 Simplifying a = -1.8Solution
a = {0, -1.8}
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