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Simplifying (5e + -2)(4e + -7) = 0 Reorder the terms: (-2 + 5e)(4e + -7) = 0 Reorder the terms: (-2 + 5e)(-7 + 4e) = 0 Multiply (-2 + 5e) * (-7 + 4e) (-2(-7 + 4e) + 5e * (-7 + 4e)) = 0 ((-7 * -2 + 4e * -2) + 5e * (-7 + 4e)) = 0 ((14 + -8e) + 5e * (-7 + 4e)) = 0 (14 + -8e + (-7 * 5e + 4e * 5e)) = 0 (14 + -8e + (-35e + 20e2)) = 0 Combine like terms: -8e + -35e = -43e (14 + -43e + 20e2) = 0 Solving 14 + -43e + 20e2 = 0 Solving for variable 'e'. Factor a trinomial. (2 + -5e)(7 + -4e) = 0Subproblem 1
Set the factor '(2 + -5e)' equal to zero and attempt to solve: Simplifying 2 + -5e = 0 Solving 2 + -5e = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5e = 0 + -2 -5e = 0 + -2 Combine like terms: 0 + -2 = -2 -5e = -2 Divide each side by '-5'. e = 0.4 Simplifying e = 0.4Subproblem 2
Set the factor '(7 + -4e)' equal to zero and attempt to solve: Simplifying 7 + -4e = 0 Solving 7 + -4e = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4e = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4e = 0 + -7 -4e = 0 + -7 Combine like terms: 0 + -7 = -7 -4e = -7 Divide each side by '-4'. e = 1.75 Simplifying e = 1.75Solution
e = {0.4, 1.75}
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