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Simplifying (3s + -1)(s2 + -4s + 2) = 3s3 Reorder the terms: (-1 + 3s)(s2 + -4s + 2) = 3s3 Reorder the terms: (-1 + 3s)(2 + -4s + s2) = 3s3 Multiply (-1 + 3s) * (2 + -4s + s2) (-1(2 + -4s + s2) + 3s * (2 + -4s + s2)) = 3s3 ((2 * -1 + -4s * -1 + s2 * -1) + 3s * (2 + -4s + s2)) = 3s3 ((-2 + 4s + -1s2) + 3s * (2 + -4s + s2)) = 3s3 (-2 + 4s + -1s2 + (2 * 3s + -4s * 3s + s2 * 3s)) = 3s3 (-2 + 4s + -1s2 + (6s + -12s2 + 3s3)) = 3s3 Reorder the terms: (-2 + 4s + 6s + -1s2 + -12s2 + 3s3) = 3s3 Combine like terms: 4s + 6s = 10s (-2 + 10s + -1s2 + -12s2 + 3s3) = 3s3 Combine like terms: -1s2 + -12s2 = -13s2 (-2 + 10s + -13s2 + 3s3) = 3s3 Add '-3s3' to each side of the equation. -2 + 10s + -13s2 + 3s3 + -3s3 = 3s3 + -3s3 Combine like terms: 3s3 + -3s3 = 0 -2 + 10s + -13s2 + 0 = 3s3 + -3s3 -2 + 10s + -13s2 = 3s3 + -3s3 Combine like terms: 3s3 + -3s3 = 0 -2 + 10s + -13s2 = 0 Solving -2 + 10s + -13s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by -13 the coefficient of the squared term: Divide each side by '-13'. 0.1538461538 + -0.7692307692s + s2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + -0.7692307692s + -0.1538461538 + s2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + -0.7692307692s + s2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + -0.7692307692s + s2 = 0 + -0.1538461538 -0.7692307692s + s2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 -0.7692307692s + s2 = -0.1538461538 The s term is -0.7692307692s. Take half its coefficient (-0.3846153846). Square it (0.1479289941) and add it to both sides. Add '0.1479289941' to each side of the equation. -0.7692307692s + 0.1479289941 + s2 = -0.1538461538 + 0.1479289941 Reorder the terms: 0.1479289941 + -0.7692307692s + s2 = -0.1538461538 + 0.1479289941 Combine like terms: -0.1538461538 + 0.1479289941 = -0.0059171597 0.1479289941 + -0.7692307692s + s2 = -0.0059171597 Factor a perfect square on the left side: (s + -0.3846153846)(s + -0.3846153846) = -0.0059171597 Can't calculate square root of the right side. The solution to this equation could not be determined.
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