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Simplifying 20e4 + -23e3 + 6e2 = 0 Reorder the terms: 6e2 + -23e3 + 20e4 = 0 Solving 6e2 + -23e3 + 20e4 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e2'. e2(6 + -23e + 20e2) = 0 Factor a trinomial. e2((2 + -5e)(3 + -4e)) = 0Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve: Simplifying e2 = 0 Solving e2 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2 = 0 Take the square root of each side: e = {0}Subproblem 2
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 3
Set the factor '(3 + -4e)' equal to zero and attempt to solve: Simplifying 3 + -4e = 0 Solving 3 + -4e = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4e = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4e = 0 + -3 -4e = 0 + -3 Combine like terms: 0 + -3 = -3 -4e = -3 Divide each side by '-4'. e = 0.75 Simplifying e = 0.75Solution
e = {0, 0.4, 0.75}
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