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Simplifying 2x2 + -125x + 3000 = 0 Reorder the terms: 3000 + -125x + 2x2 = 0 Solving 3000 + -125x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1500 + -62.5x + x2 = 0 Move the constant term to the right: Add '-1500' to each side of the equation. 1500 + -62.5x + -1500 + x2 = 0 + -1500 Reorder the terms: 1500 + -1500 + -62.5x + x2 = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -62.5x + x2 = 0 + -1500 -62.5x + x2 = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -62.5x + x2 = -1500 The x term is -62.5x. Take half its coefficient (-31.25). Square it (976.5625) and add it to both sides. Add '976.5625' to each side of the equation. -62.5x + 976.5625 + x2 = -1500 + 976.5625 Reorder the terms: 976.5625 + -62.5x + x2 = -1500 + 976.5625 Combine like terms: -1500 + 976.5625 = -523.4375 976.5625 + -62.5x + x2 = -523.4375 Factor a perfect square on the left side: (x + -31.25)(x + -31.25) = -523.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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