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Simplifying (3e + -7)(4e + -7) = 0 Reorder the terms: (-7 + 3e)(4e + -7) = 0 Reorder the terms: (-7 + 3e)(-7 + 4e) = 0 Multiply (-7 + 3e) * (-7 + 4e) (-7(-7 + 4e) + 3e * (-7 + 4e)) = 0 ((-7 * -7 + 4e * -7) + 3e * (-7 + 4e)) = 0 ((49 + -28e) + 3e * (-7 + 4e)) = 0 (49 + -28e + (-7 * 3e + 4e * 3e)) = 0 (49 + -28e + (-21e + 12e2)) = 0 Combine like terms: -28e + -21e = -49e (49 + -49e + 12e2) = 0 Solving 49 + -49e + 12e2 = 0 Solving for variable 'e'. Factor a trinomial. (7 + -4e)(7 + -3e) = 0Subproblem 1
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 = 1.75Subproblem 2
Set the factor '(7 + -3e)' equal to zero and attempt to solve: Simplifying 7 + -3e = 0 Solving 7 + -3e = 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 + -3e = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3e = 0 + -7 -3e = 0 + -7 Combine like terms: 0 + -7 = -7 -3e = -7 Divide each side by '-3'. e = 2.333333333 Simplifying e = 2.333333333Solution
e = {1.75, 2.333333333}
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