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Simplifying (e + -3)(e + -8) = 0 Reorder the terms: (-3 + e)(e + -8) = 0 Reorder the terms: (-3 + e)(-8 + e) = 0 Multiply (-3 + e) * (-8 + e) (-3(-8 + e) + e(-8 + e)) = 0 ((-8 * -3 + e * -3) + e(-8 + e)) = 0 ((24 + -3e) + e(-8 + e)) = 0 (24 + -3e + (-8 * e + e * e)) = 0 (24 + -3e + (-8e + e2)) = 0 Combine like terms: -3e + -8e = -11e (24 + -11e + e2) = 0 Solving 24 + -11e + e2 = 0 Solving for variable 'e'. Factor a trinomial. (3 + -1e)(8 + -1e) = 0Subproblem 1
Set the factor '(3 + -1e)' equal to zero and attempt to solve: Simplifying 3 + -1e = 0 Solving 3 + -1e = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1e = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1e = 0 + -3 -1e = 0 + -3 Combine like terms: 0 + -3 = -3 -1e = -3 Divide each side by '-1'. e = 3 Simplifying e = 3Subproblem 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 = {3, 8}
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