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Simplifying s(3s + -10) = -15 Reorder the terms: s(-10 + 3s) = -15 (-10 * s + 3s * s) = -15 (-10s + 3s2) = -15 Solving -10s + 3s2 = -15 Solving for variable 's'. Reorder the terms: 15 + -10s + 3s2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + -10s + 3s2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + -3.333333333s + s2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3.333333333s + -5 + s2 = 0 + -5 Reorder the terms: 5 + -5 + -3.333333333s + s2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3.333333333s + s2 = 0 + -5 -3.333333333s + s2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3.333333333s + s2 = -5 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 = -5 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333s + s2 = -5 + 2.777777779 Combine like terms: -5 + 2.777777779 = -2.222222221 2.777777779 + -3.333333333s + s2 = -2.222222221 Factor a perfect square on the left side: (s + -1.666666667)(s + -1.666666667) = -2.222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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