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Simplifying 50x2 + -2.5x + 5025 = 0 Reorder the terms: 5025 + -2.5x + 50x2 = 0 Solving 5025 + -2.5x + 50x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 100.5 + -0.05x + x2 = 0 Move the constant term to the right: Add '-100.5' to each side of the equation. 100.5 + -0.05x + -100.5 + x2 = 0 + -100.5 Reorder the terms: 100.5 + -100.5 + -0.05x + x2 = 0 + -100.5 Combine like terms: 100.5 + -100.5 = 0.0 0.0 + -0.05x + x2 = 0 + -100.5 -0.05x + x2 = 0 + -100.5 Combine like terms: 0 + -100.5 = -100.5 -0.05x + x2 = -100.5 The x term is -0.05x. Take half its coefficient (-0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. -0.05x + 0.000625 + x2 = -100.5 + 0.000625 Reorder the terms: 0.000625 + -0.05x + x2 = -100.5 + 0.000625 Combine like terms: -100.5 + 0.000625 = -100.499375 0.000625 + -0.05x + x2 = -100.499375 Factor a perfect square on the left side: (x + -0.025)(x + -0.025) = -100.499375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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