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Simplifying 3n2 + -13n + 42 = 0 Reorder the terms: 42 + -13n + 3n2 = 0 Solving 42 + -13n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 14 + -4.333333333n + n2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -4.333333333n + -14 + n2 = 0 + -14 Reorder the terms: 14 + -14 + -4.333333333n + n2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4.333333333n + n2 = 0 + -14 -4.333333333n + n2 = 0 + -14 Combine like terms: 0 + -14 = -14 -4.333333333n + n2 = -14 The n term is -4.333333333n. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333n + 4.694444446 + n2 = -14 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333n + n2 = -14 + 4.694444446 Combine like terms: -14 + 4.694444446 = -9.305555554 4.694444446 + -4.333333333n + n2 = -9.305555554 Factor a perfect square on the left side: (n + -2.166666667)(n + -2.166666667) = -9.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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