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Simplifying f(x) = 2f + 6f Multiply f * x fx = 2f + 6f Combine like terms: 2f + 6f = 8f fx = 8f Solving fx = 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -8f + fx = 8f + -8f Combine like terms: 8f + -8f = 0 -8f + fx = 0 Factor out the Greatest Common Factor (GCF), 'f'. f(-8 + 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing f to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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