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Simplifying x2 + 15x + 250 = 0 Reorder the terms: 250 + 15x + x2 = 0 Solving 250 + 15x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-250' to each side of the equation. 250 + 15x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + 15x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + 15x + x2 = 0 + -250 15x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 15x + x2 = -250 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = -250 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -250 + 56.25 Combine like terms: -250 + 56.25 = -193.75 56.25 + 15x + x2 = -193.75 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = -193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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