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Simplifying 5n2 + 11 = -12n Reorder the terms: 11 + 5n2 = -12n Solving 11 + 5n2 = -12n Solving for variable 'n'. Reorder the terms: 11 + 12n + 5n2 = -12n + 12n Combine like terms: -12n + 12n = 0 11 + 12n + 5n2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + 2.4n + n2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + 2.4n + -2.2 + n2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + 2.4n + n2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 2.4n + n2 = 0 + -2.2 2.4n + n2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 2.4n + n2 = -2.2 The n term is 2.4n. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4n + 1.44 + n2 = -2.2 + 1.44 Reorder the terms: 1.44 + 2.4n + n2 = -2.2 + 1.44 Combine like terms: -2.2 + 1.44 = -0.76 1.44 + 2.4n + n2 = -0.76 Factor a perfect square on the left side: (n + 1.2)(n + 1.2) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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