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Simplifying x2 + 60x + 4000 = 0 Reorder the terms: 4000 + 60x + x2 = 0 Solving 4000 + 60x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4000' to each side of the equation. 4000 + 60x + -4000 + x2 = 0 + -4000 Reorder the terms: 4000 + -4000 + 60x + x2 = 0 + -4000 Combine like terms: 4000 + -4000 = 0 0 + 60x + x2 = 0 + -4000 60x + x2 = 0 + -4000 Combine like terms: 0 + -4000 = -4000 60x + x2 = -4000 The x term is 60x. Take half its coefficient (30). Square it (900) and add it to both sides. Add '900' to each side of the equation. 60x + 900 + x2 = -4000 + 900 Reorder the terms: 900 + 60x + x2 = -4000 + 900 Combine like terms: -4000 + 900 = -3100 900 + 60x + x2 = -3100 Factor a perfect square on the left side: (x + 30)(x + 30) = -3100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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