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Simplifying 2700 + 958n + 86n2 = 0 Solving 2700 + 958n + 86n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(1350 + 479n + 43n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1350 + 479n + 43n2)' equal to zero and attempt to solve: Simplifying 1350 + 479n + 43n2 = 0 Solving 1350 + 479n + 43n2 = 0 Begin completing the square. Divide all terms by 43 the coefficient of the squared term: Divide each side by '43'. 31.39534884 + 11.13953488n + n2 = 0 Move the constant term to the right: Add '-31.39534884' to each side of the equation. 31.39534884 + 11.13953488n + -31.39534884 + n2 = 0 + -31.39534884 Reorder the terms: 31.39534884 + -31.39534884 + 11.13953488n + n2 = 0 + -31.39534884 Combine like terms: 31.39534884 + -31.39534884 = 0.00000000 0.00000000 + 11.13953488n + n2 = 0 + -31.39534884 11.13953488n + n2 = 0 + -31.39534884 Combine like terms: 0 + -31.39534884 = -31.39534884 11.13953488n + n2 = -31.39534884 The n term is 11.13953488n. Take half its coefficient (5.56976744). Square it (31.02230934) and add it to both sides. Add '31.02230934' to each side of the equation. 11.13953488n + 31.02230934 + n2 = -31.39534884 + 31.02230934 Reorder the terms: 31.02230934 + 11.13953488n + n2 = -31.39534884 + 31.02230934 Combine like terms: -31.39534884 + 31.02230934 = -0.3730395 31.02230934 + 11.13953488n + n2 = -0.3730395 Factor a perfect square on the left side: (n + 5.56976744)(n + 5.56976744) = -0.3730395 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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