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Simplifying 0.0002x2 + -0.1x + 12.6 = 0 Reorder the terms: 12.6 + -0.1x + 0.0002x2 = 0 Solving 12.6 + -0.1x + 0.0002x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0002 the coefficient of the squared term: Divide each side by '0.0002'. 63000 + -500x + x2 = 0 Move the constant term to the right: Add '-63000' to each side of the equation. 63000 + -500x + -63000 + x2 = 0 + -63000 Reorder the terms: 63000 + -63000 + -500x + x2 = 0 + -63000 Combine like terms: 63000 + -63000 = 0 0 + -500x + x2 = 0 + -63000 -500x + x2 = 0 + -63000 Combine like terms: 0 + -63000 = -63000 -500x + x2 = -63000 The x term is -500x. Take half its coefficient (-250). Square it (62500) and add it to both sides. Add '62500' to each side of the equation. -500x + 62500 + x2 = -63000 + 62500 Reorder the terms: 62500 + -500x + x2 = -63000 + 62500 Combine like terms: -63000 + 62500 = -500 62500 + -500x + x2 = -500 Factor a perfect square on the left side: (x + -250)(x + -250) = -500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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