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Simplifying x2 + 9x + 15 + 81 = 11 Reorder the terms: 15 + 81 + 9x + x2 = 11 Combine like terms: 15 + 81 = 96 96 + 9x + x2 = 11 Solving 96 + 9x + x2 = 11 Solving for variable 'x'. Reorder the terms: 96 + -11 + 9x + x2 = 11 + -11 Combine like terms: 96 + -11 = 85 85 + 9x + x2 = 11 + -11 Combine like terms: 11 + -11 = 0 85 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 9x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + 9x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 9x + x2 = 0 + -85 9x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 9x + x2 = -85 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -85 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -85 + 20.25 Combine like terms: -85 + 20.25 = -64.75 20.25 + 9x + x2 = -64.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -64.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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