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Simplifying 2x2 = 7x + -35 Reorder the terms: 2x2 = -35 + 7x Solving 2x2 = -35 + 7x Solving for variable 'x'. Reorder the terms: 35 + -7x + 2x2 = -35 + 7x + 35 + -7x Reorder the terms: 35 + -7x + 2x2 = -35 + 35 + 7x + -7x Combine like terms: -35 + 35 = 0 35 + -7x + 2x2 = 0 + 7x + -7x 35 + -7x + 2x2 = 7x + -7x Combine like terms: 7x + -7x = 0 35 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + -3.5x + -17.5 + x2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + -3.5x + x2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -3.5x + x2 = 0 + -17.5 -3.5x + x2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 -3.5x + x2 = -17.5 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 = -17.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -17.5 + 3.0625 Combine like terms: -17.5 + 3.0625 = -14.4375 3.0625 + -3.5x + x2 = -14.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -14.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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