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Simplifying x2 + -100x + 5100 = 0 Reorder the terms: 5100 + -100x + x2 = 0 Solving 5100 + -100x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5100' to each side of the equation. 5100 + -100x + -5100 + x2 = 0 + -5100 Reorder the terms: 5100 + -5100 + -100x + x2 = 0 + -5100 Combine like terms: 5100 + -5100 = 0 0 + -100x + x2 = 0 + -5100 -100x + x2 = 0 + -5100 Combine like terms: 0 + -5100 = -5100 -100x + x2 = -5100 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -5100 + 2500 Reorder the terms: 2500 + -100x + x2 = -5100 + 2500 Combine like terms: -5100 + 2500 = -2600 2500 + -100x + x2 = -2600 Factor a perfect square on the left side: (x + -50)(x + -50) = -2600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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