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Simplifying x2 + 150x + 25000 = 0 Reorder the terms: 25000 + 150x + x2 = 0 Solving 25000 + 150x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-25000' to each side of the equation. 25000 + 150x + -25000 + x2 = 0 + -25000 Reorder the terms: 25000 + -25000 + 150x + x2 = 0 + -25000 Combine like terms: 25000 + -25000 = 0 0 + 150x + x2 = 0 + -25000 150x + x2 = 0 + -25000 Combine like terms: 0 + -25000 = -25000 150x + x2 = -25000 The x term is 150x. Take half its coefficient (75). Square it (5625) and add it to both sides. Add '5625' to each side of the equation. 150x + 5625 + x2 = -25000 + 5625 Reorder the terms: 5625 + 150x + x2 = -25000 + 5625 Combine like terms: -25000 + 5625 = -19375 5625 + 150x + x2 = -19375 Factor a perfect square on the left side: (x + 75)(x + 75) = -19375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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