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Simplifying x + 2 = 100 + x2 Reorder the terms: 2 + x = 100 + x2 Solving 2 + x = 100 + x2 Solving for variable 'x'. Reorder the terms: 2 + -100 + x + -1x2 = 100 + x2 + -100 + -1x2 Combine like terms: 2 + -100 = -98 -98 + x + -1x2 = 100 + x2 + -100 + -1x2 Reorder the terms: -98 + x + -1x2 = 100 + -100 + x2 + -1x2 Combine like terms: 100 + -100 = 0 -98 + x + -1x2 = 0 + x2 + -1x2 -98 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -98 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 98 + -1x + x2 = 0 Move the constant term to the right: Add '-98' to each side of the equation. 98 + -1x + -98 + x2 = 0 + -98 Reorder the terms: 98 + -98 + -1x + x2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -1x + x2 = 0 + -98 -1x + x2 = 0 + -98 Combine like terms: 0 + -98 = -98 -1x + x2 = -98 The x term is x. 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 = -98 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -98 + 0.25 Combine like terms: -98 + 0.25 = -97.75 0.25 + -1x + x2 = -97.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -97.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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