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Simplifying 3e3 + 72e = 33e2 Reorder the terms: 72e + 3e3 = 33e2 Solving 72e + 3e3 = 33e2 Solving for variable 'e'. Reorder the terms: 72e + -33e2 + 3e3 = 33e2 + -33e2 Combine like terms: 33e2 + -33e2 = 0 72e + -33e2 + 3e3 = 0 Factor out the Greatest Common Factor (GCF), '3e'. 3e(24 + -11e + e2) = 0 Factor a trinomial. 3e((3 + -1e)(8 + -1e)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0Subproblem 2
Set the factor '(3 + -1e)' equal to zero and attempt to solve: Simplifying 3 + -1e = 0 Solving 3 + -1e = 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 + -1e = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1e = 0 + -3 -1e = 0 + -3 Combine like terms: 0 + -3 = -3 -1e = -3 Divide each side by '-1'. e = 3 Simplifying e = 3Subproblem 3
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 = 8Solution
e = {0, 3, 8}
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