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Simplifying -0.5s2 + 3s = 6 Reorder the terms: 3s + -0.5s2 = 6 Solving 3s + -0.5s2 = 6 Solving for variable 's'. Reorder the terms: -6 + 3s + -0.5s2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 3s + -0.5s2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 12 + -6s + s2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6s + -12 + s2 = 0 + -12 Reorder the terms: 12 + -12 + -6s + s2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6s + s2 = 0 + -12 -6s + s2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6s + s2 = -12 The s term is -6s. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6s + 9 + s2 = -12 + 9 Reorder the terms: 9 + -6s + s2 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + -6s + s2 = -3 Factor a perfect square on the left side: (s + -3)(s + -3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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