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Simplifying 5n2 + -12n = -12 Reorder the terms: -12n + 5n2 = -12 Solving -12n + 5n2 = -12 Solving for variable 'n'. Reorder the terms: 12 + -12n + 5n2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -12n + 5n2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -2.4n + n2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -2.4n + -2.4 + n2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -2.4n + n2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -2.4n + n2 = 0 + -2.4 -2.4n + n2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -2.4n + n2 = -2.4 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 = -2.4 + 1.44 Reorder the terms: 1.44 + -2.4n + n2 = -2.4 + 1.44 Combine like terms: -2.4 + 1.44 = -0.96 1.44 + -2.4n + n2 = -0.96 Factor a perfect square on the left side: (n + -1.2)(n + -1.2) = -0.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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