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Simplifying e2 + 14 = -9e Reorder the terms: 14 + e2 = -9e Solving 14 + e2 = -9e Solving for variable 'e'. Reorder the terms: 14 + 9e + e2 = -9e + 9e Combine like terms: -9e + 9e = 0 14 + 9e + e2 = 0 Factor a trinomial. (7 + e)(2 + e) = 0Subproblem 1
Set the factor '(7 + e)' equal to zero and attempt to solve: Simplifying 7 + e = 0 Solving 7 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + e = 0 + -7 Combine like terms: 7 + -7 = 0 0 + e = 0 + -7 e = 0 + -7 Combine like terms: 0 + -7 = -7 e = -7 Simplifying e = -7Subproblem 2
Set the factor '(2 + e)' equal to zero and attempt to solve: Simplifying 2 + e = 0 Solving 2 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e = 0 + -2 e = 0 + -2 Combine like terms: 0 + -2 = -2 e = -2 Simplifying e = -2Solution
e = {-7, -2}
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