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Simplifying -3.5x2 + -76x + -1444 = 0 Reorder the terms: -1444 + -76x + -3.5x2 = 0 Solving -1444 + -76x + -3.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3.5 the coefficient of the squared term: Divide each side by '-3.5'. 412.5714286 + 21.71428571x + x2 = 0 Move the constant term to the right: Add '-412.5714286' to each side of the equation. 412.5714286 + 21.71428571x + -412.5714286 + x2 = 0 + -412.5714286 Reorder the terms: 412.5714286 + -412.5714286 + 21.71428571x + x2 = 0 + -412.5714286 Combine like terms: 412.5714286 + -412.5714286 = 0.0000000 0.0000000 + 21.71428571x + x2 = 0 + -412.5714286 21.71428571x + x2 = 0 + -412.5714286 Combine like terms: 0 + -412.5714286 = -412.5714286 21.71428571x + x2 = -412.5714286 The x term is 21.71428571x. Take half its coefficient (10.85714286). Square it (117.8775511) and add it to both sides. Add '117.8775511' to each side of the equation. 21.71428571x + 117.8775511 + x2 = -412.5714286 + 117.8775511 Reorder the terms: 117.8775511 + 21.71428571x + x2 = -412.5714286 + 117.8775511 Combine like terms: -412.5714286 + 117.8775511 = -294.6938775 117.8775511 + 21.71428571x + x2 = -294.6938775 Factor a perfect square on the left side: (x + 10.85714286)(x + 10.85714286) = -294.6938775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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