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Simplifying 17a + a2 = 60 Solving 17a + a2 = 60 Solving for variable 'a'. Reorder the terms: -60 + 17a + a2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 17a + a2 = 0 Factor a trinomial. (-20 + -1a)(3 + -1a) = 0Subproblem 1
Set the factor '(-20 + -1a)' equal to zero and attempt to solve: Simplifying -20 + -1a = 0 Solving -20 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1a = 0 + 20 -1a = 0 + 20 Combine like terms: 0 + 20 = 20 -1a = 20 Divide each side by '-1'. a = -20 Simplifying a = -20Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-20, 3}
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