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Simplifying 2x2 + -7x = -105 Reorder the terms: -7x + 2x2 = -105 Solving -7x + 2x2 = -105 Solving for variable 'x'. Reorder the terms: 105 + -7x + 2x2 = -105 + 105 Combine like terms: -105 + 105 = 0 105 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 52.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-52.5' to each side of the equation. 52.5 + -3.5x + -52.5 + x2 = 0 + -52.5 Reorder the terms: 52.5 + -52.5 + -3.5x + x2 = 0 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + -3.5x + x2 = 0 + -52.5 -3.5x + x2 = 0 + -52.5 Combine like terms: 0 + -52.5 = -52.5 -3.5x + x2 = -52.5 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 = -52.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -52.5 + 3.0625 Combine like terms: -52.5 + 3.0625 = -49.4375 3.0625 + -3.5x + x2 = -49.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -49.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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