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Simplifying -5n2 + 12n + -100 = 0 Reorder the terms: -100 + 12n + -5n2 = 0 Solving -100 + 12n + -5n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 20 + -2.4n + n2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -2.4n + -20 + n2 = 0 + -20 Reorder the terms: 20 + -20 + -2.4n + n2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2.4n + n2 = 0 + -20 -2.4n + n2 = 0 + -20 Combine like terms: 0 + -20 = -20 -2.4n + n2 = -20 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 = -20 + 1.44 Reorder the terms: 1.44 + -2.4n + n2 = -20 + 1.44 Combine like terms: -20 + 1.44 = -18.56 1.44 + -2.4n + n2 = -18.56 Factor a perfect square on the left side: (n + -1.2)(n + -1.2) = -18.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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