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Simplifying 3e2 + 4e + -4 = 0 Reorder the terms: -4 + 4e + 3e2 = 0 Solving -4 + 4e + 3e2 = 0 Solving for variable 'e'. Factor a trinomial. (-2 + -1e)(2 + -3e) = 0Subproblem 1
Set the factor '(-2 + -1e)' equal to zero and attempt to solve: Simplifying -2 + -1e = 0 Solving -2 + -1e = 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 + -1e = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1e = 0 + 2 -1e = 0 + 2 Combine like terms: 0 + 2 = 2 -1e = 2 Divide each side by '-1'. e = -2 Simplifying e = -2Subproblem 2
Set the factor '(2 + -3e)' equal to zero and attempt to solve: Simplifying 2 + -3e = 0 Solving 2 + -3e = 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 + -3e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3e = 0 + -2 -3e = 0 + -2 Combine like terms: 0 + -2 = -2 -3e = -2 Divide each side by '-3'. e = 0.6666666667 Simplifying e = 0.6666666667Solution
e = {-2, 0.6666666667}
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