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Simplifying 4s2 + s + 10 = 0 Reorder the terms: 10 + s + 4s2 = 0 Solving 10 + s + 4s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.5 + 0.25s + s2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 0.25s + -2.5 + s2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 0.25s + s2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.25s + s2 = 0 + -2.5 0.25s + s2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 0.25s + s2 = -2.5 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. 0.25s + 0.25 + s2 = -2.5 + 0.25 Reorder the terms: 0.25 + 0.25s + s2 = -2.5 + 0.25 Combine like terms: -2.5 + 0.25 = -2.25 0.25 + 0.25s + s2 = -2.25 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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