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Simplifying 2x2 + -42x + 245 = 0 Reorder the terms: 245 + -42x + 2x2 = 0 Solving 245 + -42x + 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'. 122.5 + -21x + x2 = 0 Move the constant term to the right: Add '-122.5' to each side of the equation. 122.5 + -21x + -122.5 + x2 = 0 + -122.5 Reorder the terms: 122.5 + -122.5 + -21x + x2 = 0 + -122.5 Combine like terms: 122.5 + -122.5 = 0.0 0.0 + -21x + x2 = 0 + -122.5 -21x + x2 = 0 + -122.5 Combine like terms: 0 + -122.5 = -122.5 -21x + x2 = -122.5 The x term is -21x. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21x + 110.25 + x2 = -122.5 + 110.25 Reorder the terms: 110.25 + -21x + x2 = -122.5 + 110.25 Combine like terms: -122.5 + 110.25 = -12.25 110.25 + -21x + x2 = -12.25 Factor a perfect square on the left side: (x + -10.5)(x + -10.5) = -12.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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