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Simplifying 0.0128x2 + x + 220 = 0 Reorder the terms: 220 + x + 0.0128x2 = 0 Solving 220 + x + 0.0128x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0128 the coefficient of the squared term: Divide each side by '0.0128'. 17187.5 + 78.125x + x2 = 0 Move the constant term to the right: Add '-17187.5' to each side of the equation. 17187.5 + 78.125x + -17187.5 + x2 = 0 + -17187.5 Reorder the terms: 17187.5 + -17187.5 + 78.125x + x2 = 0 + -17187.5 Combine like terms: 17187.5 + -17187.5 = 0.0 0.0 + 78.125x + x2 = 0 + -17187.5 78.125x + x2 = 0 + -17187.5 Combine like terms: 0 + -17187.5 = -17187.5 78.125x + x2 = -17187.5 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. 78.125x + 0.25 + x2 = -17187.5 + 0.25 Reorder the terms: 0.25 + 78.125x + x2 = -17187.5 + 0.25 Combine like terms: -17187.5 + 0.25 = -17187.25 0.25 + 78.125x + x2 = -17187.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -17187.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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