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Simplifying -1x2 + 29x + -1786 = 0 Reorder the terms: -1786 + 29x + -1x2 = 0 Solving -1786 + 29x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1786 + -29x + x2 = 0 Move the constant term to the right: Add '-1786' to each side of the equation. 1786 + -29x + -1786 + x2 = 0 + -1786 Reorder the terms: 1786 + -1786 + -29x + x2 = 0 + -1786 Combine like terms: 1786 + -1786 = 0 0 + -29x + x2 = 0 + -1786 -29x + x2 = 0 + -1786 Combine like terms: 0 + -1786 = -1786 -29x + x2 = -1786 The x term is -29x. Take half its coefficient (-14.5). Square it (210.25) and add it to both sides. Add '210.25' to each side of the equation. -29x + 210.25 + x2 = -1786 + 210.25 Reorder the terms: 210.25 + -29x + x2 = -1786 + 210.25 Combine like terms: -1786 + 210.25 = -1575.75 210.25 + -29x + x2 = -1575.75 Factor a perfect square on the left side: (x + -14.5)(x + -14.5) = -1575.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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