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Simplifying x2 + 90x + 16200 = 0 Reorder the terms: 16200 + 90x + x2 = 0 Solving 16200 + 90x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-16200' to each side of the equation. 16200 + 90x + -16200 + x2 = 0 + -16200 Reorder the terms: 16200 + -16200 + 90x + x2 = 0 + -16200 Combine like terms: 16200 + -16200 = 0 0 + 90x + x2 = 0 + -16200 90x + x2 = 0 + -16200 Combine like terms: 0 + -16200 = -16200 90x + x2 = -16200 The x term is 90x. Take half its coefficient (45). Square it (2025) and add it to both sides. Add '2025' to each side of the equation. 90x + 2025 + x2 = -16200 + 2025 Reorder the terms: 2025 + 90x + x2 = -16200 + 2025 Combine like terms: -16200 + 2025 = -14175 2025 + 90x + x2 = -14175 Factor a perfect square on the left side: (x + 45)(x + 45) = -14175 Can't calculate square root of the right side. The solution to this equation could not be determined.
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