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Simplifying 100x2 + -100x + 2500 = 2459 Reorder the terms: 2500 + -100x + 100x2 = 2459 Solving 2500 + -100x + 100x2 = 2459 Solving for variable 'x'. Reorder the terms: 2500 + -2459 + -100x + 100x2 = 2459 + -2459 Combine like terms: 2500 + -2459 = 41 41 + -100x + 100x2 = 2459 + -2459 Combine like terms: 2459 + -2459 = 0 41 + -100x + 100x2 = 0 Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.41 + -1x + x2 = 0 Move the constant term to the right: Add '-0.41' to each side of the equation. 0.41 + -1x + -0.41 + x2 = 0 + -0.41 Reorder the terms: 0.41 + -0.41 + -1x + x2 = 0 + -0.41 Combine like terms: 0.41 + -0.41 = 0.00 0.00 + -1x + x2 = 0 + -0.41 -1x + x2 = 0 + -0.41 Combine like terms: 0 + -0.41 = -0.41 -1x + x2 = -0.41 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.41 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.41 + 0.25 Combine like terms: -0.41 + 0.25 = -0.16 0.25 + -1x + x2 = -0.16 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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