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Simplifying 9 + 6x + 6x + 4x + -4x2 + -3x + -17 = -3 + 11x Reorder the terms: 9 + -17 + 6x + 6x + 4x + -3x + -4x2 = -3 + 11x Combine like terms: 9 + -17 = -8 -8 + 6x + 6x + 4x + -3x + -4x2 = -3 + 11x Combine like terms: 6x + 6x = 12x -8 + 12x + 4x + -3x + -4x2 = -3 + 11x Combine like terms: 12x + 4x = 16x -8 + 16x + -3x + -4x2 = -3 + 11x Combine like terms: 16x + -3x = 13x -8 + 13x + -4x2 = -3 + 11x Solving -8 + 13x + -4x2 = -3 + 11x Solving for variable 'x'. Reorder the terms: -8 + 3 + 13x + -11x + -4x2 = -3 + 11x + 3 + -11x Combine like terms: -8 + 3 = -5 -5 + 13x + -11x + -4x2 = -3 + 11x + 3 + -11x Combine like terms: 13x + -11x = 2x -5 + 2x + -4x2 = -3 + 11x + 3 + -11x Reorder the terms: -5 + 2x + -4x2 = -3 + 3 + 11x + -11x Combine like terms: -3 + 3 = 0 -5 + 2x + -4x2 = 0 + 11x + -11x -5 + 2x + -4x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -5 + 2x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.25 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.5x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.5x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.5x + x2 = 0 + -1.25 -0.5x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.5x + x2 = -1.25 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1.25 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1.25 + 0.0625 Combine like terms: -1.25 + 0.0625 = -1.1875 0.0625 + -0.5x + x2 = -1.1875 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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