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Simplifying a2 + 9a + 20 = 6 Reorder the terms: 20 + 9a + a2 = 6 Solving 20 + 9a + a2 = 6 Solving for variable 'a'. Reorder the terms: 20 + -6 + 9a + a2 = 6 + -6 Combine like terms: 20 + -6 = 14 14 + 9a + a2 = 6 + -6 Combine like terms: 6 + -6 = 0 14 + 9a + a2 = 0 Factor a trinomial. (7 + a)(2 + a) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-7, -2}
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