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Simplifying (x + -1)(2x + -3) = 2x + -17 Reorder the terms: (-1 + x)(2x + -3) = 2x + -17 Reorder the terms: (-1 + x)(-3 + 2x) = 2x + -17 Multiply (-1 + x) * (-3 + 2x) (-1(-3 + 2x) + x(-3 + 2x)) = 2x + -17 ((-3 * -1 + 2x * -1) + x(-3 + 2x)) = 2x + -17 ((3 + -2x) + x(-3 + 2x)) = 2x + -17 (3 + -2x + (-3 * x + 2x * x)) = 2x + -17 (3 + -2x + (-3x + 2x2)) = 2x + -17 Combine like terms: -2x + -3x = -5x (3 + -5x + 2x2) = 2x + -17 Reorder the terms: 3 + -5x + 2x2 = -17 + 2x Solving 3 + -5x + 2x2 = -17 + 2x Solving for variable 'x'. Reorder the terms: 3 + 17 + -5x + -2x + 2x2 = -17 + 2x + 17 + -2x Combine like terms: 3 + 17 = 20 20 + -5x + -2x + 2x2 = -17 + 2x + 17 + -2x Combine like terms: -5x + -2x = -7x 20 + -7x + 2x2 = -17 + 2x + 17 + -2x Reorder the terms: 20 + -7x + 2x2 = -17 + 17 + 2x + -2x Combine like terms: -17 + 17 = 0 20 + -7x + 2x2 = 0 + 2x + -2x 20 + -7x + 2x2 = 2x + -2x Combine like terms: 2x + -2x = 0 20 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 10 + -3.5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -3.5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.5x + x2 = 0 + -10 -3.5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.5x + x2 = -10 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 = -10 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -10 + 3.0625 Combine like terms: -10 + 3.0625 = -6.9375 3.0625 + -3.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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