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Simplifying (e + 5)(e + 5) = 0 Reorder the terms: (5 + e)(e + 5) = 0 Reorder the terms: (5 + e)(5 + e) = 0 Multiply (5 + e) * (5 + e) (5(5 + e) + e(5 + e)) = 0 ((5 * 5 + e * 5) + e(5 + e)) = 0 ((25 + 5e) + e(5 + e)) = 0 (25 + 5e + (5 * e + e * e)) = 0 (25 + 5e + (5e + e2)) = 0 Combine like terms: 5e + 5e = 10e (25 + 10e + e2) = 0 Solving 25 + 10e + e2 = 0 Solving for variable 'e'. Factor a trinomial. (5 + e)(5 + e) = 0Subproblem 1
Set the factor '(5 + e)' equal to zero and attempt to solve: Simplifying 5 + e = 0 Solving 5 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + e = 0 + -5 e = 0 + -5 Combine like terms: 0 + -5 = -5 e = -5 Simplifying e = -5Subproblem 2
Set the factor '(5 + e)' equal to zero and attempt to solve: Simplifying 5 + e = 0 Solving 5 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + e = 0 + -5 e = 0 + -5 Combine like terms: 0 + -5 = -5 e = -5 Simplifying e = -5Solution
e = {-5, -5}
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