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Simplifying x(17 + -1x) = 208 (17 * x + -1x * x) = 208 (17x + -1x2) = 208 Solving 17x + -1x2 = 208 Solving for variable 'x'. Reorder the terms: -208 + 17x + -1x2 = 208 + -208 Combine like terms: 208 + -208 = 0 -208 + 17x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 208 + -17x + x2 = 0 Move the constant term to the right: Add '-208' to each side of the equation. 208 + -17x + -208 + x2 = 0 + -208 Reorder the terms: 208 + -208 + -17x + x2 = 0 + -208 Combine like terms: 208 + -208 = 0 0 + -17x + x2 = 0 + -208 -17x + x2 = 0 + -208 Combine like terms: 0 + -208 = -208 -17x + x2 = -208 The x term is -17x. Take half its coefficient (-8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. -17x + 72.25 + x2 = -208 + 72.25 Reorder the terms: 72.25 + -17x + x2 = -208 + 72.25 Combine like terms: -208 + 72.25 = -135.75 72.25 + -17x + x2 = -135.75 Factor a perfect square on the left side: (x + -8.5)(x + -8.5) = -135.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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