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Simplifying 12n2 + -11n + 15 = 0 Reorder the terms: 15 + -11n + 12n2 = 0 Solving 15 + -11n + 12n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.25 + -0.9166666667n + n2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.9166666667n + -1.25 + n2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.9166666667n + n2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.9166666667n + n2 = 0 + -1.25 -0.9166666667n + n2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.9166666667n + n2 = -1.25 The n term is -0.9166666667n. Take half its coefficient (-0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. -0.9166666667n + 0.2100694445 + n2 = -1.25 + 0.2100694445 Reorder the terms: 0.2100694445 + -0.9166666667n + n2 = -1.25 + 0.2100694445 Combine like terms: -1.25 + 0.2100694445 = -1.0399305555 0.2100694445 + -0.9166666667n + n2 = -1.0399305555 Factor a perfect square on the left side: (n + -0.4583333334)(n + -0.4583333334) = -1.0399305555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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