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Simplifying x2 + -20x + 1600 = 0 Reorder the terms: 1600 + -20x + x2 = 0 Solving 1600 + -20x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1600' to each side of the equation. 1600 + -20x + -1600 + x2 = 0 + -1600 Reorder the terms: 1600 + -1600 + -20x + x2 = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -20x + x2 = 0 + -1600 -20x + x2 = 0 + -1600 Combine like terms: 0 + -1600 = -1600 -20x + x2 = -1600 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -1600 + 100 Reorder the terms: 100 + -20x + x2 = -1600 + 100 Combine like terms: -1600 + 100 = -1500 100 + -20x + x2 = -1500 Factor a perfect square on the left side: (x + -10)(x + -10) = -1500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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