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Simplifying 42a2 + -87a + -45 = 0 Reorder the terms: -45 + -87a + 42a2 = 0 Solving -45 + -87a + 42a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + -29a + 14a2) = 0 Factor a trinomial. 3((-3 + -7a)(5 + -2a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -7a)' equal to zero and attempt to solve: Simplifying -3 + -7a = 0 Solving -3 + -7a = 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 + -7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 0 + 3 -7a = 0 + 3 Combine like terms: 0 + 3 = 3 -7a = 3 Divide each side by '-7'. a = -0.4285714286 Simplifying a = -0.4285714286Subproblem 2
Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Solution
a = {-0.4285714286, 2.5}
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