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Simplifying x2 + 2000x + 100000000 = 0 Reorder the terms: 100000000 + 2000x + x2 = 0 Solving 100000000 + 2000x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-100000000' to each side of the equation. 100000000 + 2000x + -100000000 + x2 = 0 + -100000000 Reorder the terms: 100000000 + -100000000 + 2000x + x2 = 0 + -100000000 Combine like terms: 100000000 + -100000000 = 0 0 + 2000x + x2 = 0 + -100000000 2000x + x2 = 0 + -100000000 Combine like terms: 0 + -100000000 = -100000000 2000x + x2 = -100000000 The x term is 2000x. Take half its coefficient (1000). Square it (1000000) and add it to both sides. Add '1000000' to each side of the equation. 2000x + 1000000 + x2 = -100000000 + 1000000 Reorder the terms: 1000000 + 2000x + x2 = -100000000 + 1000000 Combine like terms: -100000000 + 1000000 = -99000000 1000000 + 2000x + x2 = -99000000 Factor a perfect square on the left side: (x + 1000)(x + 1000) = -99000000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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