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Simplifying 3s2 + 10s + 18 = 0 Reorder the terms: 18 + 10s + 3s2 = 0 Solving 18 + 10s + 3s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6 + 3.333333333s + s2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 3.333333333s + -6 + s2 = 0 + -6 Reorder the terms: 6 + -6 + 3.333333333s + s2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3.333333333s + s2 = 0 + -6 3.333333333s + s2 = 0 + -6 Combine like terms: 0 + -6 = -6 3.333333333s + s2 = -6 The s term is 3.333333333s. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333s + 2.777777779 + s2 = -6 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333s + s2 = -6 + 2.777777779 Combine like terms: -6 + 2.777777779 = -3.222222221 2.777777779 + 3.333333333s + s2 = -3.222222221 Factor a perfect square on the left side: (s + 1.666666667)(s + 1.666666667) = -3.222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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