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Simplifying a2 + 19a = -70 Reorder the terms: 19a + a2 = -70 Solving 19a + a2 = -70 Solving for variable 'a'. Reorder the terms: 70 + 19a + a2 = -70 + 70 Combine like terms: -70 + 70 = 0 70 + 19a + a2 = 0 Factor a trinomial. (14 + a)(5 + a) = 0Subproblem 1
Set the factor '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {-14, -5}
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