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Simplifying 2x2 + -0.316x + 127.9 = 7 Reorder the terms: 127.9 + -0.316x + 2x2 = 7 Solving 127.9 + -0.316x + 2x2 = 7 Solving for variable 'x'. Reorder the terms: 127.9 + -7 + -0.316x + 2x2 = 7 + -7 Combine like terms: 127.9 + -7 = 120.9 120.9 + -0.316x + 2x2 = 7 + -7 Combine like terms: 7 + -7 = 0 120.9 + -0.316x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 60.45 + -0.158x + x2 = 0 Move the constant term to the right: Add '-60.45' to each side of the equation. 60.45 + -0.158x + -60.45 + x2 = 0 + -60.45 Reorder the terms: 60.45 + -60.45 + -0.158x + x2 = 0 + -60.45 Combine like terms: 60.45 + -60.45 = 0.00 0.00 + -0.158x + x2 = 0 + -60.45 -0.158x + x2 = 0 + -60.45 Combine like terms: 0 + -60.45 = -60.45 -0.158x + x2 = -60.45 The x term is -0.158x. Take half its coefficient (-0.079). Square it (0.006241) and add it to both sides. Add '0.006241' to each side of the equation. -0.158x + 0.006241 + x2 = -60.45 + 0.006241 Reorder the terms: 0.006241 + -0.158x + x2 = -60.45 + 0.006241 Combine like terms: -60.45 + 0.006241 = -60.443759 0.006241 + -0.158x + x2 = -60.443759 Factor a perfect square on the left side: (x + -0.079)(x + -0.079) = -60.443759 Can't calculate square root of the right side. The solution to this equation could not be determined.
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