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Simplifying 3n2 + -6n + 7 = 0 Reorder the terms: 7 + -6n + 3n2 = 0 Solving 7 + -6n + 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'. 2.333333333 + -2n + n2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -2n + -2.333333333 + n2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -2n + n2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -2n + n2 = 0 + -2.333333333 -2n + n2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -2n + n2 = -2.333333333 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = -2.333333333 + 1 Reorder the terms: 1 + -2n + n2 = -2.333333333 + 1 Combine like terms: -2.333333333 + 1 = -1.333333333 1 + -2n + n2 = -1.333333333 Factor a perfect square on the left side: (n + -1)(n + -1) = -1.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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