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Simplifying s2 + -3s + 8 = 0 Reorder the terms: 8 + -3s + s2 = 0 Solving 8 + -3s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3s + -8 + s2 = 0 + -8 Reorder the terms: 8 + -8 + -3s + s2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s + s2 = 0 + -8 -3s + s2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3s + s2 = -8 The s term is -3s. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3s + 2.25 + s2 = -8 + 2.25 Reorder the terms: 2.25 + -3s + s2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + -3s + s2 = -5.75 Factor a perfect square on the left side: (s + -1.5)(s + -1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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