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Simplifying a2 + -23a + -140 = 0 Reorder the terms: -140 + -23a + a2 = 0 Solving -140 + -23a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -1a)(28 + -1a) = 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 '(28 + -1a)' equal to zero and attempt to solve: Simplifying 28 + -1a = 0 Solving 28 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1a = 0 + -28 -1a = 0 + -28 Combine like terms: 0 + -28 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28Solution
a = {-5, 28}
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