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Simplifying x2 + 200x + 12500 = 0 Reorder the terms: 12500 + 200x + x2 = 0 Solving 12500 + 200x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12500' to each side of the equation. 12500 + 200x + -12500 + x2 = 0 + -12500 Reorder the terms: 12500 + -12500 + 200x + x2 = 0 + -12500 Combine like terms: 12500 + -12500 = 0 0 + 200x + x2 = 0 + -12500 200x + x2 = 0 + -12500 Combine like terms: 0 + -12500 = -12500 200x + x2 = -12500 The x term is 200x. Take half its coefficient (100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. 200x + 10000 + x2 = -12500 + 10000 Reorder the terms: 10000 + 200x + x2 = -12500 + 10000 Combine like terms: -12500 + 10000 = -2500 10000 + 200x + x2 = -2500 Factor a perfect square on the left side: (x + 100)(x + 100) = -2500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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