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Simplifying 2500x2 + -101x + 3 = 0 Reorder the terms: 3 + -101x + 2500x2 = 0 Solving 3 + -101x + 2500x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2500 the coefficient of the squared term: Divide each side by '2500'. 0.0012 + -0.0404x + x2 = 0 Move the constant term to the right: Add '-0.0012' to each side of the equation. 0.0012 + -0.0404x + -0.0012 + x2 = 0 + -0.0012 Reorder the terms: 0.0012 + -0.0012 + -0.0404x + x2 = 0 + -0.0012 Combine like terms: 0.0012 + -0.0012 = 0.0000 0.0000 + -0.0404x + x2 = 0 + -0.0012 -0.0404x + x2 = 0 + -0.0012 Combine like terms: 0 + -0.0012 = -0.0012 -0.0404x + x2 = -0.0012 The x term is -0.0404x. Take half its coefficient (-0.0202). Square it (0.00040804) and add it to both sides. Add '0.00040804' to each side of the equation. -0.0404x + 0.00040804 + x2 = -0.0012 + 0.00040804 Reorder the terms: 0.00040804 + -0.0404x + x2 = -0.0012 + 0.00040804 Combine like terms: -0.0012 + 0.00040804 = -0.00079196 0.00040804 + -0.0404x + x2 = -0.00079196 Factor a perfect square on the left side: (x + -0.0202)(x + -0.0202) = -0.00079196 Can't calculate square root of the right side. The solution to this equation could not be determined.
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