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Simplifying 5x4 + 9x3 + 8x2 + 3x + -4forx = -1 Reorder the terms: -4forx + 3x + 8x2 + 9x3 + 5x4 = -1 Solving -4forx + 3x + 8x2 + 9x3 + 5x4 = -1 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3x' to each side of the equation. -4forx + 3x + 8x2 + 9x3 + -3x + 5x4 = -1 + -3x Reorder the terms: -4forx + 3x + -3x + 8x2 + 9x3 + 5x4 = -1 + -3x Combine like terms: 3x + -3x = 0 -4forx + 0 + 8x2 + 9x3 + 5x4 = -1 + -3x -4forx + 8x2 + 9x3 + 5x4 = -1 + -3x Add '-8x2' to each side of the equation. -4forx + 8x2 + 9x3 + -8x2 + 5x4 = -1 + -3x + -8x2 Reorder the terms: -4forx + 8x2 + -8x2 + 9x3 + 5x4 = -1 + -3x + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4forx + 0 + 9x3 + 5x4 = -1 + -3x + -8x2 -4forx + 9x3 + 5x4 = -1 + -3x + -8x2 Add '-9x3' to each side of the equation. -4forx + 9x3 + -9x3 + 5x4 = -1 + -3x + -8x2 + -9x3 Combine like terms: 9x3 + -9x3 = 0 -4forx + 0 + 5x4 = -1 + -3x + -8x2 + -9x3 -4forx + 5x4 = -1 + -3x + -8x2 + -9x3 Add '-5x4' to each side of the equation. -4forx + 5x4 + -5x4 = -1 + -3x + -8x2 + -9x3 + -5x4 Combine like terms: 5x4 + -5x4 = 0 -4forx + 0 = -1 + -3x + -8x2 + -9x3 + -5x4 -4forx = -1 + -3x + -8x2 + -9x3 + -5x4 Divide each side by '-4orx'. f = 0.25o-1r-1x-1 + 0.75o-1r-1 + 2o-1r-1x + 2.25o-1r-1x2 + 1.25o-1r-1x3 Simplifying f = 0.25o-1r-1x-1 + 0.75o-1r-1 + 2o-1r-1x + 2.25o-1r-1x2 + 1.25o-1r-1x3 Reorder the terms: f = 0.75o-1r-1 + 0.25o-1r-1x-1 + 2o-1r-1x + 2.25o-1r-1x2 + 1.25o-1r-1x3
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