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Simplifying a2f2 + 9af + 14 = 0 Reorder the terms: 14 + 9af + a2f2 = 0 Solving 14 + 9af + a2f2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + af)(2 + af) = 0Subproblem 1
Set the factor '(7 + af)' equal to zero and attempt to solve: Simplifying 7 + af = 0 Solving 7 + af = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + af = 0 + -7 Combine like terms: 7 + -7 = 0 0 + af = 0 + -7 af = 0 + -7 Combine like terms: 0 + -7 = -7 af = -7 Divide each side by 'f'. a = -7f-1 Simplifying a = -7f-1Subproblem 2
Set the factor '(2 + af)' equal to zero and attempt to solve: Simplifying 2 + af = 0 Solving 2 + af = 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 + af = 0 + -2 Combine like terms: 2 + -2 = 0 0 + af = 0 + -2 af = 0 + -2 Combine like terms: 0 + -2 = -2 af = -2 Divide each side by 'f'. a = -2f-1 Simplifying a = -2f-1Solution
a = {-7f-1, -2f-1}
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