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Simplifying x2 + 18x + 81.5 = 0 Reorder the terms: 81.5 + 18x + x2 = 0 Solving 81.5 + 18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-81.5' to each side of the equation. 81.5 + 18x + -81.5 + x2 = 0 + -81.5 Reorder the terms: 81.5 + -81.5 + 18x + x2 = 0 + -81.5 Combine like terms: 81.5 + -81.5 = 0.0 0.0 + 18x + x2 = 0 + -81.5 18x + x2 = 0 + -81.5 Combine like terms: 0 + -81.5 = -81.5 18x + x2 = -81.5 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -81.5 + 81 Reorder the terms: 81 + 18x + x2 = -81.5 + 81 Combine like terms: -81.5 + 81 = -0.5 81 + 18x + x2 = -0.5 Factor a perfect square on the left side: (x + 9)(x + 9) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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