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Simplifying 111118n2 + 60n + 50 = 0 Reorder the terms: 50 + 60n + 111118n2 = 0 Solving 50 + 60n + 111118n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 30n + 55559n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 30n + 55559n2)' equal to zero and attempt to solve: Simplifying 25 + 30n + 55559n2 = 0 Solving 25 + 30n + 55559n2 = 0 Begin completing the square. Divide all terms by 55559 the coefficient of the squared term: Divide each side by '55559'. 0.0004499721017 + 0.0005399665221n + n2 = 0 Move the constant term to the right: Add '-0.0004499721017' to each side of the equation. 0.0004499721017 + 0.0005399665221n + -0.0004499721017 + n2 = 0 + -0.0004499721017 Reorder the terms: 0.0004499721017 + -0.0004499721017 + 0.0005399665221n + n2 = 0 + -0.0004499721017 Combine like terms: 0.0004499721017 + -0.0004499721017 = 0.0000000000000 0.0000000000000 + 0.0005399665221n + n2 = 0 + -0.0004499721017 0.0005399665221n + n2 = 0 + -0.0004499721017 Combine like terms: 0 + -0.0004499721017 = -0.0004499721017 0.0005399665221n + n2 = -0.0004499721017 The n term is 0.0005399665221n. Take half its coefficient (0.0002699832611). Square it (0.00000007289096127) and add it to both sides. Add '0.00000007289096127' to each side of the equation. 0.0005399665221n + 0.00000007289096127 + n2 = -0.0004499721017 + 0.00000007289096127 Reorder the terms: 0.00000007289096127 + 0.0005399665221n + n2 = -0.0004499721017 + 0.00000007289096127 Combine like terms: -0.0004499721017 + 0.00000007289096127 = -0.00044989921073873 0.00000007289096127 + 0.0005399665221n + n2 = -0.00044989921073873 Factor a perfect square on the left side: (n + 0.0002699832611)(n + 0.0002699832611) = -0.00044989921073873 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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