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Simplifying 40a2 + 126a + 44 = 0 Reorder the terms: 44 + 126a + 40a2 = 0 Solving 44 + 126a + 40a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 63a + 20a2) = 0 Factor a trinomial. 2((11 + 4a)(2 + 5a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 4a)' equal to zero and attempt to solve: Simplifying 11 + 4a = 0 Solving 11 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4a = 0 + -11 4a = 0 + -11 Combine like terms: 0 + -11 = -11 4a = -11 Divide each side by '4'. a = -2.75 Simplifying a = -2.75Subproblem 2
Set the factor '(2 + 5a)' equal to zero and attempt to solve: Simplifying 2 + 5a = 0 Solving 2 + 5a = 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 + 5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 0 + -2 5a = 0 + -2 Combine like terms: 0 + -2 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4Solution
a = {-2.75, -0.4}
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