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Simplifying 3n2 + -7n + 60 = 0 Reorder the terms: 60 + -7n + 3n2 = 0 Solving 60 + -7n + 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'. 20 + -2.333333333n + n2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -2.333333333n + -20 + n2 = 0 + -20 Reorder the terms: 20 + -20 + -2.333333333n + n2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2.333333333n + n2 = 0 + -20 -2.333333333n + n2 = 0 + -20 Combine like terms: 0 + -20 = -20 -2.333333333n + n2 = -20 The n term is -2.333333333n. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333n + 1.361111112 + n2 = -20 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333n + n2 = -20 + 1.361111112 Combine like terms: -20 + 1.361111112 = -18.638888888 1.361111112 + -2.333333333n + n2 = -18.638888888 Factor a perfect square on the left side: (n + -1.166666667)(n + -1.166666667) = -18.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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