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Simplifying 6s2 + 18s + 81 = 0 Reorder the terms: 81 + 18s + 6s2 = 0 Solving 81 + 18s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + 6s + 2s2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(27 + 6s + 2s2)' equal to zero and attempt to solve: Simplifying 27 + 6s + 2s2 = 0 Solving 27 + 6s + 2s2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 13.5 + 3s + s2 = 0 Move the constant term to the right: Add '-13.5' to each side of the equation. 13.5 + 3s + -13.5 + s2 = 0 + -13.5 Reorder the terms: 13.5 + -13.5 + 3s + s2 = 0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 3s + s2 = 0 + -13.5 3s + s2 = 0 + -13.5 Combine like terms: 0 + -13.5 = -13.5 3s + s2 = -13.5 The s term is 3s. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3s + 2.25 + s2 = -13.5 + 2.25 Reorder the terms: 2.25 + 3s + s2 = -13.5 + 2.25 Combine like terms: -13.5 + 2.25 = -11.25 2.25 + 3s + s2 = -11.25 Factor a perfect square on the left side: (s + 1.5)(s + 1.5) = -11.25 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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