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Simplifying 3x + -26 = 2x2 + -8x + 34 Reorder the terms: -26 + 3x = 2x2 + -8x + 34 Reorder the terms: -26 + 3x = 34 + -8x + 2x2 Solving -26 + 3x = 34 + -8x + 2x2 Solving for variable 'x'. Reorder the terms: -26 + -34 + 3x + 8x + -2x2 = 34 + -8x + 2x2 + -34 + 8x + -2x2 Combine like terms: -26 + -34 = -60 -60 + 3x + 8x + -2x2 = 34 + -8x + 2x2 + -34 + 8x + -2x2 Combine like terms: 3x + 8x = 11x -60 + 11x + -2x2 = 34 + -8x + 2x2 + -34 + 8x + -2x2 Reorder the terms: -60 + 11x + -2x2 = 34 + -34 + -8x + 8x + 2x2 + -2x2 Combine like terms: 34 + -34 = 0 -60 + 11x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2 -60 + 11x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 -60 + 11x + -2x2 = 0 + 2x2 + -2x2 -60 + 11x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -60 + 11x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 30 + -5.5x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -5.5x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -5.5x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5.5x + x2 = 0 + -30 -5.5x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -5.5x + x2 = -30 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -30 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -30 + 7.5625 Combine like terms: -30 + 7.5625 = -22.4375 7.5625 + -5.5x + x2 = -22.4375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -22.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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