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Simplifying -31x2 + 44x + -16 = 0 Reorder the terms: -16 + 44x + -31x2 = 0 Solving -16 + 44x + -31x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -31 the coefficient of the squared term: Divide each side by '-31'. 0.5161290323 + -1.419354839x + x2 = 0 Move the constant term to the right: Add '-0.5161290323' to each side of the equation. 0.5161290323 + -1.419354839x + -0.5161290323 + x2 = 0 + -0.5161290323 Reorder the terms: 0.5161290323 + -0.5161290323 + -1.419354839x + x2 = 0 + -0.5161290323 Combine like terms: 0.5161290323 + -0.5161290323 = 0.0000000000 0.0000000000 + -1.419354839x + x2 = 0 + -0.5161290323 -1.419354839x + x2 = 0 + -0.5161290323 Combine like terms: 0 + -0.5161290323 = -0.5161290323 -1.419354839x + x2 = -0.5161290323 The x term is -1.419354839x. Take half its coefficient (-0.7096774195). Square it (0.5036420397) and add it to both sides. Add '0.5036420397' to each side of the equation. -1.419354839x + 0.5036420397 + x2 = -0.5161290323 + 0.5036420397 Reorder the terms: 0.5036420397 + -1.419354839x + x2 = -0.5161290323 + 0.5036420397 Combine like terms: -0.5161290323 + 0.5036420397 = -0.0124869926 0.5036420397 + -1.419354839x + x2 = -0.0124869926 Factor a perfect square on the left side: (x + -0.7096774195)(x + -0.7096774195) = -0.0124869926 Can't calculate square root of the right side. The solution to this equation could not be determined.
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