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Simplifying 3e(4ef + -6e) = 0 Reorder the terms: 3e(-6e + 4ef) = 0 (-6e * 3e + 4ef * 3e) = 0 (-18e2 + 12e2f) = 0 Solving -18e2 + 12e2f = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6e2'. 6e2(-3 + 2f) = 0 Ignore the factor 6.Subproblem 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 '(-3 + 2f)' equal to zero and attempt to solve: Simplifying -3 + 2f = 0 Solving -3 + 2f = 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 + 2f = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2f = 0 + 3 2f = 0 + 3 Combine like terms: 0 + 3 = 3 2f = 3 Add '-2f' to each side of the equation. 2f + -2f = 3 + -2f Combine like terms: 2f + -2f = 0 0 = 3 + -2f Simplifying 0 = 3 + -2f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
e = {0}
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