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Simplifying (2e + 5)(4e + 11) = 0 Reorder the terms: (5 + 2e)(4e + 11) = 0 Reorder the terms: (5 + 2e)(11 + 4e) = 0 Multiply (5 + 2e) * (11 + 4e) (5(11 + 4e) + 2e * (11 + 4e)) = 0 ((11 * 5 + 4e * 5) + 2e * (11 + 4e)) = 0 ((55 + 20e) + 2e * (11 + 4e)) = 0 (55 + 20e + (11 * 2e + 4e * 2e)) = 0 (55 + 20e + (22e + 8e2)) = 0 Combine like terms: 20e + 22e = 42e (55 + 42e + 8e2) = 0 Solving 55 + 42e + 8e2 = 0 Solving for variable 'e'. Factor a trinomial. (11 + 4e)(5 + 2e) = 0Subproblem 1
Set the factor '(11 + 4e)' equal to zero and attempt to solve: Simplifying 11 + 4e = 0 Solving 11 + 4e = 0 Move all terms containing e to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4e = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4e = 0 + -11 4e = 0 + -11 Combine like terms: 0 + -11 = -11 4e = -11 Divide each side by '4'. e = -2.75 Simplifying e = -2.75Subproblem 2
Set the factor '(5 + 2e)' equal to zero and attempt to solve: Simplifying 5 + 2e = 0 Solving 5 + 2e = 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 + 2e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2e = 0 + -5 2e = 0 + -5 Combine like terms: 0 + -5 = -5 2e = -5 Divide each side by '2'. e = -2.5 Simplifying e = -2.5Solution
e = {-2.75, -2.5}
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