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Simplifying 105a2 + -33a + -18 = 0 Reorder the terms: -18 + -33a + 105a2 = 0 Solving -18 + -33a + 105a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + -11a + 35a2) = 0 Factor a trinomial. 3((-2 + -7a)(3 + -5a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -7a)' equal to zero and attempt to solve: Simplifying -2 + -7a = 0 Solving -2 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 0 + 2 -7a = 0 + 2 Combine like terms: 0 + 2 = 2 -7a = 2 Divide each side by '-7'. a = -0.2857142857 Simplifying a = -0.2857142857Subproblem 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 = {-0.2857142857, 0.6}
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