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Simplifying -1e2 + -36 = 12e Reorder the terms: -36 + -1e2 = 12e Solving -36 + -1e2 = 12e Solving for variable 'e'. Reorder the terms: -36 + -12e + -1e2 = 12e + -12e Combine like terms: 12e + -12e = 0 -36 + -12e + -1e2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(36 + 12e + e2) = 0 Factor a trinomial. -1((6 + e)(6 + e)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + e)' equal to zero and attempt to solve: Simplifying 6 + e = 0 Solving 6 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + e = 0 + -6 Combine like terms: 6 + -6 = 0 0 + e = 0 + -6 e = 0 + -6 Combine like terms: 0 + -6 = -6 e = -6 Simplifying e = -6Subproblem 2
Set the factor '(6 + e)' equal to zero and attempt to solve: Simplifying 6 + e = 0 Solving 6 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + e = 0 + -6 Combine like terms: 6 + -6 = 0 0 + e = 0 + -6 e = 0 + -6 Combine like terms: 0 + -6 = -6 e = -6 Simplifying e = -6Solution
e = {-6, -6}
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