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Simplifying 2(s + 3) * s = 4s + -5 Reorder the terms: 2(3 + s) * s = 4s + -5 Reorder the terms for easier multiplication: 2s(3 + s) = 4s + -5 (3 * 2s + s * 2s) = 4s + -5 (6s + 2s2) = 4s + -5 Reorder the terms: 6s + 2s2 = -5 + 4s Solving 6s + 2s2 = -5 + 4s Solving for variable 's'. Reorder the terms: 5 + 6s + -4s + 2s2 = -5 + 4s + 5 + -4s Combine like terms: 6s + -4s = 2s 5 + 2s + 2s2 = -5 + 4s + 5 + -4s Reorder the terms: 5 + 2s + 2s2 = -5 + 5 + 4s + -4s Combine like terms: -5 + 5 = 0 5 + 2s + 2s2 = 0 + 4s + -4s 5 + 2s + 2s2 = 4s + -4s Combine like terms: 4s + -4s = 0 5 + 2s + 2s2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + s + s2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + s + -2.5 + s2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + s + s2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + s + s2 = 0 + -2.5 s + s2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 s + s2 = -2.5 The s term is s. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + s2 = -2.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + s2 = -2.5 + 0.25 Combine like terms: -2.5 + 0.25 = -2.25 1.25 + s2 = -2.25 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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