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Simplifying f(5 + -2x) = -6x + -1f(-3) (5 * f + -2x * f) = -6x + -1f(-3) (5f + -2fx) = -6x + -1f(-3) Reorder the terms for easier multiplication: 5f + -2fx = -6x + -1 * -3f Multiply -1 * -3 5f + -2fx = -6x + 3f Reorder the terms: 5f + -2fx = 3f + -6x Solving 5f + -2fx = 3f + -6x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 5f + -3f + -2fx = 3f + -3f + -6x Combine like terms: 5f + -3f = 2f 2f + -2fx = 3f + -3f + -6x Combine like terms: 3f + -3f = 0 2f + -2fx = 0 + -6x 2f + -2fx = -6x Combine like terms: -6x + 6x = 0 2f + -2fx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(f + -1fx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(f + -1fx + 3x)' equal to zero and attempt to solve: Simplifying f + -1fx + 3x = 0 Solving f + -1fx + 3x = 0 Move all terms containing f to the left, all other terms to the right. Add '-3x' to each side of the equation. f + -1fx + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 f + -1fx + 0 = 0 + -3x f + -1fx = 0 + -3x Remove the zero: f + -1fx = -3x 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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