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Simplifying e2 + 12e + 36 = 0 Reorder the terms: 36 + 12e + e2 = 0 Solving 36 + 12e + e2 = 0 Solving for variable 'e'. Factor a trinomial. (6 + e)(6 + e) = 0Subproblem 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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