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Simplifying 1 + -1v4f4 = 0 Solving 1 + -1f4v4 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1f4v4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f4v4 = 0 + -1 -1f4v4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1f4v4 = -1 Divide each side by '-1v4'. f4 = v-4 Simplifying f4 = v-4 Combine like terms: v-4 + -1v-4 = 0 f4 + -1v-4 = 0 Factor out the Greatest Common Factor (GCF), 'v-4'. v-4(f4v4 + -1) = 0 Factor a difference between two squares. v-4((f2v2 + 1)(f2v2 + -1)) = 0 Factor a difference between two squares. v-4((f2v2 + 1)((fv + 1)(fv + -1))) = 0Subproblem 1
Set the factor 'v-4' equal to zero and attempt to solve: Simplifying v-4 = 0 Solving v-4 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1v-4' to each side of the equation. v-4 + -1v-4 = 0 + -1v-4 Remove the zero: 0 = -1v-4 Simplifying 0 = -1v-4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(f2v2 + 1)' equal to zero and attempt to solve: Simplifying f2v2 + 1 = 0 Reorder the terms: 1 + f2v2 = 0 Solving 1 + f2v2 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + f2v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + f2v2 = 0 + -1 f2v2 = 0 + -1 Combine like terms: 0 + -1 = -1 f2v2 = -1 Divide each side by 'v2'. f2 = -1v-2 Simplifying f2 = -1v-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(fv + 1)' equal to zero and attempt to solve: Simplifying fv + 1 = 0 Reorder the terms: 1 + fv = 0 Solving 1 + fv = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + fv = 0 + -1 Combine like terms: 1 + -1 = 0 0 + fv = 0 + -1 fv = 0 + -1 Combine like terms: 0 + -1 = -1 fv = -1 Divide each side by 'v'. f = -1v-1 Simplifying f = -1v-1Subproblem 4
Set the factor '(fv + -1)' equal to zero and attempt to solve: Simplifying fv + -1 = 0 Reorder the terms: -1 + fv = 0 Solving -1 + fv = 0 Move all terms containing f to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + fv = 0 + 1 Combine like terms: -1 + 1 = 0 0 + fv = 0 + 1 fv = 0 + 1 Combine like terms: 0 + 1 = 1 fv = 1 Divide each side by 'v'. f = v-1 Simplifying f = v-1Solution
f = {-1v-1, v-1}
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