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Simplifying 245 + -42x + 2x2 = x Solving 245 + -42x + 2x2 = x Solving for variable 'x'. Reorder the terms: 245 + -42x + -1x + 2x2 = x + -1x Combine like terms: -42x + -1x = -43x 245 + -43x + 2x2 = x + -1x Combine like terms: x + -1x = 0 245 + -43x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 122.5 + -21.5x + x2 = 0 Move the constant term to the right: Add '-122.5' to each side of the equation. 122.5 + -21.5x + -122.5 + x2 = 0 + -122.5 Reorder the terms: 122.5 + -122.5 + -21.5x + x2 = 0 + -122.5 Combine like terms: 122.5 + -122.5 = 0.0 0.0 + -21.5x + x2 = 0 + -122.5 -21.5x + x2 = 0 + -122.5 Combine like terms: 0 + -122.5 = -122.5 -21.5x + x2 = -122.5 The x term is -21.5x. Take half its coefficient (-10.75). Square it (115.5625) and add it to both sides. Add '115.5625' to each side of the equation. -21.5x + 115.5625 + x2 = -122.5 + 115.5625 Reorder the terms: 115.5625 + -21.5x + x2 = -122.5 + 115.5625 Combine like terms: -122.5 + 115.5625 = -6.9375 115.5625 + -21.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -10.75)(x + -10.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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