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Simplifying -2x2 + 7x + 1 = 17 Reorder the terms: 1 + 7x + -2x2 = 17 Solving 1 + 7x + -2x2 = 17 Solving for variable 'x'. Reorder the terms: 1 + -17 + 7x + -2x2 = 17 + -17 Combine like terms: 1 + -17 = -16 -16 + 7x + -2x2 = 17 + -17 Combine like terms: 17 + -17 = 0 -16 + 7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 8 + -3.5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3.5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -3.5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3.5x + x2 = 0 + -8 -3.5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3.5x + x2 = -8 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -8 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -8 + 3.0625 Combine like terms: -8 + 3.0625 = -4.9375 3.0625 + -3.5x + x2 = -4.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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