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Simplifying 14s2 + 14s + 45 = 0 Reorder the terms: 45 + 14s + 14s2 = 0 Solving 45 + 14s + 14s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 3.214285714 + s + s2 = 0 Move the constant term to the right: Add '-3.214285714' to each side of the equation. 3.214285714 + s + -3.214285714 + s2 = 0 + -3.214285714 Reorder the terms: 3.214285714 + -3.214285714 + s + s2 = 0 + -3.214285714 Combine like terms: 3.214285714 + -3.214285714 = 0.000000000 0.000000000 + s + s2 = 0 + -3.214285714 s + s2 = 0 + -3.214285714 Combine like terms: 0 + -3.214285714 = -3.214285714 s + s2 = -3.214285714 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 = -3.214285714 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + s2 = -3.214285714 + 0.25 Combine like terms: -3.214285714 + 0.25 = -2.964285714 1.25 + s2 = -2.964285714 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = -2.964285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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