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Simplifying 25 + x + 2x(35 + -1x) = 702 25 + x + (35 * 2x + -1x * 2x) = 702 25 + x + (70x + -2x2) = 702 Combine like terms: x + 70x = 71x 25 + 71x + -2x2 = 702 Solving 25 + 71x + -2x2 = 702 Solving for variable 'x'. Reorder the terms: 25 + -702 + 71x + -2x2 = 702 + -702 Combine like terms: 25 + -702 = -677 -677 + 71x + -2x2 = 702 + -702 Combine like terms: 702 + -702 = 0 -677 + 71x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 338.5 + -35.5x + x2 = 0 Move the constant term to the right: Add '-338.5' to each side of the equation. 338.5 + -35.5x + -338.5 + x2 = 0 + -338.5 Reorder the terms: 338.5 + -338.5 + -35.5x + x2 = 0 + -338.5 Combine like terms: 338.5 + -338.5 = 0.0 0.0 + -35.5x + x2 = 0 + -338.5 -35.5x + x2 = 0 + -338.5 Combine like terms: 0 + -338.5 = -338.5 -35.5x + x2 = -338.5 The x term is -35.5x. Take half its coefficient (-17.75). Square it (315.0625) and add it to both sides. Add '315.0625' to each side of the equation. -35.5x + 315.0625 + x2 = -338.5 + 315.0625 Reorder the terms: 315.0625 + -35.5x + x2 = -338.5 + 315.0625 Combine like terms: -338.5 + 315.0625 = -23.4375 315.0625 + -35.5x + x2 = -23.4375 Factor a perfect square on the left side: (x + -17.75)(x + -17.75) = -23.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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