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Simplifying (-9s2 + 8s) + (5s2 + -3s + -2) = 0 Reorder the terms: (8s + -9s2) + (5s2 + -3s + -2) = 0 Remove parenthesis around (8s + -9s2) 8s + -9s2 + (5s2 + -3s + -2) = 0 Reorder the terms: 8s + -9s2 + (-2 + -3s + 5s2) = 0 Remove parenthesis around (-2 + -3s + 5s2) 8s + -9s2 + -2 + -3s + 5s2 = 0 Reorder the terms: -2 + 8s + -3s + -9s2 + 5s2 = 0 Combine like terms: 8s + -3s = 5s -2 + 5s + -9s2 + 5s2 = 0 Combine like terms: -9s2 + 5s2 = -4s2 -2 + 5s + -4s2 = 0 Solving -2 + 5s + -4s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 0.5 + -1.25s + s2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1.25s + -0.5 + s2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1.25s + s2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.25s + s2 = 0 + -0.5 -1.25s + s2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1.25s + s2 = -0.5 The s term is -1.25s. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25s + 0.390625 + s2 = -0.5 + 0.390625 Reorder the terms: 0.390625 + -1.25s + s2 = -0.5 + 0.390625 Combine like terms: -0.5 + 0.390625 = -0.109375 0.390625 + -1.25s + s2 = -0.109375 Factor a perfect square on the left side: (s + -0.625)(s + -0.625) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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