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Simplifying 3n2 + -22n + 84 = 0 Reorder the terms: 84 + -22n + 3n2 = 0 Solving 84 + -22n + 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'. 28 + -7.333333333n + n2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -7.333333333n + -28 + n2 = 0 + -28 Reorder the terms: 28 + -28 + -7.333333333n + n2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7.333333333n + n2 = 0 + -28 -7.333333333n + n2 = 0 + -28 Combine like terms: 0 + -28 = -28 -7.333333333n + n2 = -28 The n term is -7.333333333n. Take half its coefficient (-3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. -7.333333333n + 13.44444445 + n2 = -28 + 13.44444445 Reorder the terms: 13.44444445 + -7.333333333n + n2 = -28 + 13.44444445 Combine like terms: -28 + 13.44444445 = -14.55555555 13.44444445 + -7.333333333n + n2 = -14.55555555 Factor a perfect square on the left side: (n + -3.666666667)(n + -3.666666667) = -14.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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