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Simplifying -16x2 + x + -1087 = 0 Reorder the terms: -1087 + x + -16x2 = 0 Solving -1087 + x + -16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 67.9375 + -0.0625x + x2 = 0 Move the constant term to the right: Add '-67.9375' to each side of the equation. 67.9375 + -0.0625x + -67.9375 + x2 = 0 + -67.9375 Reorder the terms: 67.9375 + -67.9375 + -0.0625x + x2 = 0 + -67.9375 Combine like terms: 67.9375 + -67.9375 = 0.0000 0.0000 + -0.0625x + x2 = 0 + -67.9375 -0.0625x + x2 = 0 + -67.9375 Combine like terms: 0 + -67.9375 = -67.9375 -0.0625x + x2 = -67.9375 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.0625x + 0.25 + x2 = -67.9375 + 0.25 Reorder the terms: 0.25 + -0.0625x + x2 = -67.9375 + 0.25 Combine like terms: -67.9375 + 0.25 = -67.6875 0.25 + -0.0625x + x2 = -67.6875 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -67.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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