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Simplifying 15s2 + 5s + 6 = 0 Reorder the terms: 6 + 5s + 15s2 = 0 Solving 6 + 5s + 15s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4 + 0.3333333333s + s2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.3333333333s + -0.4 + s2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.3333333333s + s2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.3333333333s + s2 = 0 + -0.4 0.3333333333s + s2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.3333333333s + s2 = -0.4 The s term is 0.3333333333s. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333s + 0.02777777779 + s2 = -0.4 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333s + s2 = -0.4 + 0.02777777779 Combine like terms: -0.4 + 0.02777777779 = -0.37222222221 0.02777777779 + 0.3333333333s + s2 = -0.37222222221 Factor a perfect square on the left side: (s + 0.1666666667)(s + 0.1666666667) = -0.37222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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