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Simplifying 16x2 + -40x + 61 = 0 Reorder the terms: 61 + -40x + 16x2 = 0 Solving 61 + -40x + 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'. 3.8125 + -2.5x + x2 = 0 Move the constant term to the right: Add '-3.8125' to each side of the equation. 3.8125 + -2.5x + -3.8125 + x2 = 0 + -3.8125 Reorder the terms: 3.8125 + -3.8125 + -2.5x + x2 = 0 + -3.8125 Combine like terms: 3.8125 + -3.8125 = 0.0000 0.0000 + -2.5x + x2 = 0 + -3.8125 -2.5x + x2 = 0 + -3.8125 Combine like terms: 0 + -3.8125 = -3.8125 -2.5x + x2 = -3.8125 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -3.8125 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -3.8125 + 1.5625 Combine like terms: -3.8125 + 1.5625 = -2.25 1.5625 + -2.5x + x2 = -2.25 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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