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Simplifying a2 + 10a + -2a = -16 Reorder the terms: 10a + -2a + a2 = -16 Combine like terms: 10a + -2a = 8a 8a + a2 = -16 Solving 8a + a2 = -16 Solving for variable 'a'. Reorder the terms: 16 + 8a + a2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 8a + a2 = 0 Factor a trinomial. (4 + a)(4 + a) = 0Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {-4, -4}
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