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Simplifying 0.012x2 + -0.543x + 35.723 = 0 Reorder the terms: 35.723 + -0.543x + 0.012x2 = 0 Solving 35.723 + -0.543x + 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'. 2976.916667 + -45.25x + x2 = 0 Move the constant term to the right: Add '-2976.916667' to each side of the equation. 2976.916667 + -45.25x + -2976.916667 + x2 = 0 + -2976.916667 Reorder the terms: 2976.916667 + -2976.916667 + -45.25x + x2 = 0 + -2976.916667 Combine like terms: 2976.916667 + -2976.916667 = 0.000000 0.000000 + -45.25x + x2 = 0 + -2976.916667 -45.25x + x2 = 0 + -2976.916667 Combine like terms: 0 + -2976.916667 = -2976.916667 -45.25x + x2 = -2976.916667 The x term is -45.25x. Take half its coefficient (-22.625). Square it (511.890625) and add it to both sides. Add '511.890625' to each side of the equation. -45.25x + 511.890625 + x2 = -2976.916667 + 511.890625 Reorder the terms: 511.890625 + -45.25x + x2 = -2976.916667 + 511.890625 Combine like terms: -2976.916667 + 511.890625 = -2465.026042 511.890625 + -45.25x + x2 = -2465.026042 Factor a perfect square on the left side: (x + -22.625)(x + -22.625) = -2465.026042 Can't calculate square root of the right side. The solution to this equation could not be determined.
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