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Simplifying x2 + 80x + 3000 = 0 Reorder the terms: 3000 + 80x + x2 = 0 Solving 3000 + 80x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-3000' to each side of the equation. 3000 + 80x + -3000 + x2 = 0 + -3000 Reorder the terms: 3000 + -3000 + 80x + x2 = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + 80x + x2 = 0 + -3000 80x + x2 = 0 + -3000 Combine like terms: 0 + -3000 = -3000 80x + x2 = -3000 The x term is 80x. Take half its coefficient (40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. 80x + 1600 + x2 = -3000 + 1600 Reorder the terms: 1600 + 80x + x2 = -3000 + 1600 Combine like terms: -3000 + 1600 = -1400 1600 + 80x + x2 = -1400 Factor a perfect square on the left side: (x + 40)(x + 40) = -1400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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