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Simplifying x2 + 30x + 250 = 0 Reorder the terms: 250 + 30x + x2 = 0 Solving 250 + 30x + 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 + 30x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + 30x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + 30x + x2 = 0 + -250 30x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 30x + x2 = -250 The x term is 30x. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30x + 225 + x2 = -250 + 225 Reorder the terms: 225 + 30x + x2 = -250 + 225 Combine like terms: -250 + 225 = -25 225 + 30x + x2 = -25 Factor a perfect square on the left side: (x + 15)(x + 15) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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