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Simplifying 42a2 + -33a + -45 = 0 Reorder the terms: -45 + -33a + 42a2 = 0 Solving -45 + -33a + 42a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + -11a + 14a2) = 0 Factor a trinomial. 3((-5 + -7a)(3 + -2a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -7a)' equal to zero and attempt to solve: Simplifying -5 + -7a = 0 Solving -5 + -7a = 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 + -7a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 0 + 5 -7a = 0 + 5 Combine like terms: 0 + 5 = 5 -7a = 5 Divide each side by '-7'. a = -0.7142857143 Simplifying a = -0.7142857143Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 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 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Solution
a = {-0.7142857143, 1.5}
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