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Simplifying 2S2 + S + 8 = 0 Reorder the terms: 8 + S + 2S2 = 0 Solving 8 + S + 2S2 = 0 Solving for variable 'S'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 0.5S + S2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 0.5S + -4 + S2 = 0 + -4 Reorder the terms: 4 + -4 + 0.5S + S2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5S + S2 = 0 + -4 0.5S + S2 = 0 + -4 Combine like terms: 0 + -4 = -4 0.5S + S2 = -4 The S term is S. 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. 0.5S + 0.25 + S2 = -4 + 0.25 Reorder the terms: 0.25 + 0.5S + S2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + 0.5S + S2 = -3.75 Factor a perfect square on the left side: (S + 0.5)(S + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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