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Simplifying a2 + 10a + 14 = -7 Reorder the terms: 14 + 10a + a2 = -7 Solving 14 + 10a + a2 = -7 Solving for variable 'a'. Reorder the terms: 14 + 7 + 10a + a2 = -7 + 7 Combine like terms: 14 + 7 = 21 21 + 10a + a2 = -7 + 7 Combine like terms: -7 + 7 = 0 21 + 10a + a2 = 0 Factor a trinomial. (7 + a)(3 + 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 '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 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 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {-7, -3}
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