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Simplifying 2x2 + -17x + 124 = 0 Reorder the terms: 124 + -17x + 2x2 = 0 Solving 124 + -17x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 62 + -8.5x + x2 = 0 Move the constant term to the right: Add '-62' to each side of the equation. 62 + -8.5x + -62 + x2 = 0 + -62 Reorder the terms: 62 + -62 + -8.5x + x2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -8.5x + x2 = 0 + -62 -8.5x + x2 = 0 + -62 Combine like terms: 0 + -62 = -62 -8.5x + x2 = -62 The x term is -8.5x. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5x + 18.0625 + x2 = -62 + 18.0625 Reorder the terms: 18.0625 + -8.5x + x2 = -62 + 18.0625 Combine like terms: -62 + 18.0625 = -43.9375 18.0625 + -8.5x + x2 = -43.9375 Factor a perfect square on the left side: (x + -4.25)(x + -4.25) = -43.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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