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Simplifying 18x2 + x + 5 = 0 Reorder the terms: 5 + x + 18x2 = 0 Solving 5 + x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.2777777778 + 0.05555555556x + x2 = 0 Move the constant term to the right: Add '-0.2777777778' to each side of the equation. 0.2777777778 + 0.05555555556x + -0.2777777778 + x2 = 0 + -0.2777777778 Reorder the terms: 0.2777777778 + -0.2777777778 + 0.05555555556x + x2 = 0 + -0.2777777778 Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000 0.0000000000 + 0.05555555556x + x2 = 0 + -0.2777777778 0.05555555556x + x2 = 0 + -0.2777777778 Combine like terms: 0 + -0.2777777778 = -0.2777777778 0.05555555556x + x2 = -0.2777777778 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.05555555556x + 0.25 + x2 = -0.2777777778 + 0.25 Reorder the terms: 0.25 + 0.05555555556x + x2 = -0.2777777778 + 0.25 Combine like terms: -0.2777777778 + 0.25 = -0.0277777778 0.25 + 0.05555555556x + x2 = -0.0277777778 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0277777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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