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Simplifying -2x(2f + -4) = -4(-1f + 2) Reorder the terms: -2x(-4 + 2f) = -4(-1f + 2) (-4 * -2x + 2f * -2x) = -4(-1f + 2) Reorder the terms: (-4fx + 8x) = -4(-1f + 2) (-4fx + 8x) = -4(-1f + 2) Reorder the terms: -4fx + 8x = -4(2 + -1f) -4fx + 8x = (2 * -4 + -1f * -4) -4fx + 8x = (-8 + 4f) Solving -4fx + 8x = -8 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -4fx + -4f + 8x = -8 + 4f + -4f Reorder the terms: -4f + -4fx + 8x = -8 + 4f + -4f Combine like terms: 4f + -4f = 0 -4f + -4fx + 8x = -8 + 0 -4f + -4fx + 8x = -8 Add '-8x' to each side of the equation. -4f + -4fx + 8x + -8x = -8 + -8x Combine like terms: 8x + -8x = 0 -4f + -4fx + 0 = -8 + -8x -4f + -4fx = -8 + -8x Reorder the terms: 8 + -4f + -4fx + 8x = -8 + -8x + 8 + 8x Reorder the terms: 8 + -4f + -4fx + 8x = -8 + 8 + -8x + 8x Combine like terms: -8 + 8 = 0 8 + -4f + -4fx + 8x = 0 + -8x + 8x 8 + -4f + -4fx + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 8 + -4f + -4fx + 8x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -1f + -1fx + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1f + -1fx + 2x)' equal to zero and attempt to solve: Simplifying 2 + -1f + -1fx + 2x = 0 Solving 2 + -1f + -1fx + 2x = 0 Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1f + -1fx + -2 + 2x = 0 + -2 Reorder the terms: 2 + -2 + -1f + -1fx + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1f + -1fx + 2x = 0 + -2 -1f + -1fx + 2x = 0 + -2 Combine like terms: 0 + -2 = -2 -1f + -1fx + 2x = -2 Add '-2x' to each side of the equation. -1f + -1fx + 2x + -2x = -2 + -2x Combine like terms: 2x + -2x = 0 -1f + -1fx + 0 = -2 + -2x -1f + -1fx = -2 + -2x 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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