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Simplifying 0.012x2 + -0.573x + 35.727 = 0 Reorder the terms: 35.727 + -0.573x + 0.012x2 = 0 Solving 35.727 + -0.573x + 0.012x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.012 the coefficient of the squared term: Divide each side by '0.012'. 2977.25 + -47.75x + x2 = 0 Move the constant term to the right: Add '-2977.25' to each side of the equation. 2977.25 + -47.75x + -2977.25 + x2 = 0 + -2977.25 Reorder the terms: 2977.25 + -2977.25 + -47.75x + x2 = 0 + -2977.25 Combine like terms: 2977.25 + -2977.25 = 0.00 0.00 + -47.75x + x2 = 0 + -2977.25 -47.75x + x2 = 0 + -2977.25 Combine like terms: 0 + -2977.25 = -2977.25 -47.75x + x2 = -2977.25 The x term is -47.75x. Take half its coefficient (-23.875). Square it (570.015625) and add it to both sides. Add '570.015625' to each side of the equation. -47.75x + 570.015625 + x2 = -2977.25 + 570.015625 Reorder the terms: 570.015625 + -47.75x + x2 = -2977.25 + 570.015625 Combine like terms: -2977.25 + 570.015625 = -2407.234375 570.015625 + -47.75x + x2 = -2407.234375 Factor a perfect square on the left side: (x + -23.875)(x + -23.875) = -2407.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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