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Simplifying 5a2 + 17a + -40 = 0 Reorder the terms: -40 + 17a + 5a2 = 0 Solving -40 + 17a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -1a)(8 + -5a) = 0Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 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 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 2
Set the factor '(8 + -5a)' equal to zero and attempt to solve: Simplifying 8 + -5a = 0 Solving 8 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5a = 0 + -8 -5a = 0 + -8 Combine like terms: 0 + -8 = -8 -5a = -8 Divide each side by '-5'. a = 1.6 Simplifying a = 1.6Solution
a = {-5, 1.6}
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