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Simplifying 4s2 + 22s + 36 = 0 Reorder the terms: 36 + 22s + 4s2 = 0 Solving 36 + 22s + 4s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 11s + 2s2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + 11s + 2s2)' equal to zero and attempt to solve: Simplifying 18 + 11s + 2s2 = 0 Solving 18 + 11s + 2s2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + 5.5s + s2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5.5s + -9 + s2 = 0 + -9 Reorder the terms: 9 + -9 + 5.5s + s2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5.5s + s2 = 0 + -9 5.5s + s2 = 0 + -9 Combine like terms: 0 + -9 = -9 5.5s + s2 = -9 The s term is 5.5s. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5s + 7.5625 + s2 = -9 + 7.5625 Reorder the terms: 7.5625 + 5.5s + s2 = -9 + 7.5625 Combine like terms: -9 + 7.5625 = -1.4375 7.5625 + 5.5s + s2 = -1.4375 Factor a perfect square on the left side: (s + 2.75)(s + 2.75) = -1.4375 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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