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Simplifying 75a2 + 90a2 + 27a = 0 Reorder the terms: 27a + 75a2 + 90a2 = 0 Combine like terms: 75a2 + 90a2 = 165a2 27a + 165a2 = 0 Solving 27a + 165a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(9 + 55a) = 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 '(9 + 55a)' equal to zero and attempt to solve: Simplifying 9 + 55a = 0 Solving 9 + 55a = 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 + 55a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 55a = 0 + -9 55a = 0 + -9 Combine like terms: 0 + -9 = -9 55a = -9 Divide each side by '55'. a = -0.1636363636 Simplifying a = -0.1636363636Solution
a = {0, -0.1636363636}
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