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Simplifying a2 = 20 + -1a Solving a2 = 20 + -1a Solving for variable 'a'. Reorder the terms: -20 + a + a2 = 20 + -1a + -20 + a Reorder the terms: -20 + a + a2 = 20 + -20 + -1a + a Combine like terms: 20 + -20 = 0 -20 + a + a2 = 0 + -1a + a -20 + a + a2 = -1a + a Combine like terms: -1a + a = 0 -20 + a + a2 = 0 Factor a trinomial. (-5 + -1a)(4 + -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 '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {-5, 4}
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