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Simplifying 3e2 + 20e + -32 = 0 Reorder the terms: -32 + 20e + 3e2 = 0 Solving -32 + 20e + 3e2 = 0 Solving for variable 'e'. Factor a trinomial. (-8 + -1e)(4 + -3e) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(4 + -3e)' equal to zero and attempt to solve: Simplifying 4 + -3e = 0 Solving 4 + -3e = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3e = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3e = 0 + -4 -3e = 0 + -4 Combine like terms: 0 + -4 = -4 -3e = -4 Divide each side by '-3'. e = 1.333333333 Simplifying e = 1.333333333Solution
e = {-8, 1.333333333}
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