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Simplifying -144 = e2 + -26e Reorder the terms: -144 = -26e + e2 Solving -144 = -26e + e2 Solving for variable 'e'. Reorder the terms: -144 + 26e + -1e2 = -26e + 26e + e2 + -1e2 Combine like terms: -26e + 26e = 0 -144 + 26e + -1e2 = 0 + e2 + -1e2 -144 + 26e + -1e2 = e2 + -1e2 Combine like terms: e2 + -1e2 = 0 -144 + 26e + -1e2 = 0 Factor a trinomial. (-18 + e)(8 + -1e) = 0Subproblem 1
Set the factor '(-18 + e)' equal to zero and attempt to solve: Simplifying -18 + e = 0 Solving -18 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + e = 0 + 18 Combine like terms: -18 + 18 = 0 0 + e = 0 + 18 e = 0 + 18 Combine like terms: 0 + 18 = 18 e = 18 Simplifying e = 18Subproblem 2
Set the factor '(8 + -1e)' equal to zero and attempt to solve: Simplifying 8 + -1e = 0 Solving 8 + -1e = 0 Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1e = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1e = 0 + -8 -1e = 0 + -8 Combine like terms: 0 + -8 = -8 -1e = -8 Divide each side by '-1'. e = 8 Simplifying e = 8Solution
e = {18, 8}
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