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Simplifying 75a2 + 90a + 27 = 0 Reorder the terms: 27 + 90a + 75a2 = 0 Solving 27 + 90a + 75a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(9 + 30a + 25a2) = 0 Factor a trinomial. 3((3 + 5a)(3 + 5a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Subproblem 2
Set the factor '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Solution
a = {-0.6, -0.6}
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