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Simplifying f + fx = dforx Solving f + fx = dforx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1dforx' to each side of the equation. f + -1dforx + fx = dforx + -1dforx Reorder the terms: -1dforx + f + fx = dforx + -1dforx Combine like terms: dforx + -1dforx = 0 -1dforx + f + fx = 0 Factor out the Greatest Common Factor (GCF), 'f'. f(-1dorx + 1 + x) = 0Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(-1dorx + 1 + x)' equal to zero and attempt to solve: Simplifying -1dorx + 1 + x = 0 Reorder the terms: 1 + -1dorx + x = 0 Solving 1 + -1dorx + x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1dorx + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + -1dorx + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1dorx + x = 0 + -1 -1dorx + x = 0 + -1 Combine like terms: 0 + -1 = -1 -1dorx + x = -1 Add 'dorx' to each side of the equation. -1dorx + dorx + x = -1 + dorx Combine like terms: -1dorx + dorx = 0 0 + x = -1 + dorx x = -1 + dorx Add '-1x' to each side of the equation. x + -1x = -1 + dorx + -1x Combine like terms: x + -1x = 0 0 = -1 + dorx + -1x Simplifying 0 = -1 + dorx + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
f = {0}
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