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Simplifying 8e2 + 64e = -56 Reorder the terms: 64e + 8e2 = -56 Solving 64e + 8e2 = -56 Solving for variable 'e'. Reorder the terms: 56 + 64e + 8e2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 64e + 8e2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(7 + 8e + e2) = 0 Factor a trinomial. 8((7 + e)(1 + e)) = 0 Ignore the factor 8.Subproblem 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 '(1 + e)' equal to zero and attempt to solve: Simplifying 1 + e = 0 Solving 1 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e = 0 + -1 e = 0 + -1 Combine like terms: 0 + -1 = -1 e = -1 Simplifying e = -1Solution
e = {-7, -1}
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