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Simplifying x2 + -2x + 101 = 0 Reorder the terms: 101 + -2x + x2 = 0 Solving 101 + -2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-101' to each side of the equation. 101 + -2x + -101 + x2 = 0 + -101 Reorder the terms: 101 + -101 + -2x + x2 = 0 + -101 Combine like terms: 101 + -101 = 0 0 + -2x + x2 = 0 + -101 -2x + x2 = 0 + -101 Combine like terms: 0 + -101 = -101 -2x + x2 = -101 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -101 + 1 Reorder the terms: 1 + -2x + x2 = -101 + 1 Combine like terms: -101 + 1 = -100 1 + -2x + x2 = -100 Factor a perfect square on the left side: (x + -1)(x + -1) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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