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Simplifying a2 + 20a + 91 = 0 Reorder the terms: 91 + 20a + a2 = 0 Solving 91 + 20a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (13 + a)(7 + a) = 0Subproblem 1
Set the factor '(13 + a)' equal to zero and attempt to solve: Simplifying 13 + a = 0 Solving 13 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + a = 0 + -13 a = 0 + -13 Combine like terms: 0 + -13 = -13 a = -13 Simplifying a = -13Subproblem 2
Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 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 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {-13, -7}
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