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Simplifying x2 + 8000 = 160x Reorder the terms: 8000 + x2 = 160x Solving 8000 + x2 = 160x Solving for variable 'x'. Reorder the terms: 8000 + -160x + x2 = 160x + -160x Combine like terms: 160x + -160x = 0 8000 + -160x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8000' to each side of the equation. 8000 + -160x + -8000 + x2 = 0 + -8000 Reorder the terms: 8000 + -8000 + -160x + x2 = 0 + -8000 Combine like terms: 8000 + -8000 = 0 0 + -160x + x2 = 0 + -8000 -160x + x2 = 0 + -8000 Combine like terms: 0 + -8000 = -8000 -160x + x2 = -8000 The x term is -160x. Take half its coefficient (-80). Square it (6400) and add it to both sides. Add '6400' to each side of the equation. -160x + 6400 + x2 = -8000 + 6400 Reorder the terms: 6400 + -160x + x2 = -8000 + 6400 Combine like terms: -8000 + 6400 = -1600 6400 + -160x + x2 = -1600 Factor a perfect square on the left side: (x + -80)(x + -80) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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