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Simplifying 2e * 3f + 7e + -5ef = 0 Reorder the terms for easier multiplication: 2 * 3e * f + 7e + -5ef = 0 Multiply 2 * 3 6e * f + 7e + -5ef = 0 Multiply e * f 6ef + 7e + -5ef = 0 Reorder the terms: 7e + 6ef + -5ef = 0 Combine like terms: 6ef + -5ef = 1ef 7e + 1ef = 0 Solving 7e + 1ef = 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), 'e'. e(7 + f) = 0Subproblem 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 '(7 + f)' equal to zero and attempt to solve: Simplifying 7 + f = 0 Solving 7 + f = 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 + f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + f = 0 + -7 f = 0 + -7 Combine like terms: 0 + -7 = -7 f = -7 Add '-1f' to each side of the equation. f + -1f = -7 + -1f Combine like terms: f + -1f = 0 0 = -7 + -1f Simplifying 0 = -7 + -1f 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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