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Simplifying 28e2 + -85e + 63 = 0 Reorder the terms: 63 + -85e + 28e2 = 0 Solving 63 + -85e + 28e2 = 0 Solving for variable 'e'. Factor a trinomial. (9 + -7e)(7 + -4e) = 0Subproblem 1
Set the factor '(9 + -7e)' equal to zero and attempt to solve: Simplifying 9 + -7e = 0 Solving 9 + -7e = 0 Move all terms containing e to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7e = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7e = 0 + -9 -7e = 0 + -9 Combine like terms: 0 + -9 = -9 -7e = -9 Divide each side by '-7'. e = 1.285714286 Simplifying e = 1.285714286Subproblem 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 = {1.285714286, 1.75}
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