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Simplifying x2 + 150x + 8400 = 0 Reorder the terms: 8400 + 150x + x2 = 0 Solving 8400 + 150x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-8400' to each side of the equation. 8400 + 150x + -8400 + x2 = 0 + -8400 Reorder the terms: 8400 + -8400 + 150x + x2 = 0 + -8400 Combine like terms: 8400 + -8400 = 0 0 + 150x + x2 = 0 + -8400 150x + x2 = 0 + -8400 Combine like terms: 0 + -8400 = -8400 150x + x2 = -8400 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 = -8400 + 5625 Reorder the terms: 5625 + 150x + x2 = -8400 + 5625 Combine like terms: -8400 + 5625 = -2775 5625 + 150x + x2 = -2775 Factor a perfect square on the left side: (x + 75)(x + 75) = -2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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