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Simplifying f(x) = -6x + -1(fg)(x) Multiply f * x fx = -6x + -1(fg)(x) Multiply fg * x fx = -6x + -1fgx Reorder the terms: fx = -1fgx + -6x Solving fx = -1fgx + -6x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'fgx' to each side of the equation. fgx + fx = -1fgx + fgx + -6x Combine like terms: -1fgx + fgx = 0 fgx + fx = 0 + -6x fgx + fx = -6x Combine like terms: -6x + 6x = 0 fgx + fx + 6x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(fg + f + 6) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(fg + f + 6)' equal to zero and attempt to solve: Simplifying fg + f + 6 = 0 Reorder the terms: 6 + f + fg = 0 Solving 6 + f + fg = 0 Move all terms containing f to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + f + -6 + fg = 0 + -6 Reorder the terms: 6 + -6 + f + fg = 0 + -6 Combine like terms: 6 + -6 = 0 0 + f + fg = 0 + -6 f + fg = 0 + -6 Combine like terms: 0 + -6 = -6 f + fg = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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