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Simplifying 6n2 + -6n = -7 Reorder the terms: -6n + 6n2 = -7 Solving -6n + 6n2 = -7 Solving for variable 'n'. Reorder the terms: 7 + -6n + 6n2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -6n + 6n2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + -1n + n2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -1n + -1.166666667 + n2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -1n + n2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -1n + n2 = 0 + -1.166666667 -1n + n2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -1n + n2 = -1.166666667 The n term is -1n. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1n + 0.25 + n2 = -1.166666667 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -1.166666667 + 0.25 Combine like terms: -1.166666667 + 0.25 = -0.916666667 0.25 + -1n + n2 = -0.916666667 Factor a perfect square on the left side: (n + -0.5)(n + -0.5) = -0.916666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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