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Simplifying 10n2 + -3n + 16 = 0 Reorder the terms: 16 + -3n + 10n2 = 0 Solving 16 + -3n + 10n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.6 + -0.3n + n2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -0.3n + -1.6 + n2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -0.3n + n2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.3n + n2 = 0 + -1.6 -0.3n + n2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -0.3n + n2 = -1.6 The n term is -0.3n. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3n + 0.0225 + n2 = -1.6 + 0.0225 Reorder the terms: 0.0225 + -0.3n + n2 = -1.6 + 0.0225 Combine like terms: -1.6 + 0.0225 = -1.5775 0.0225 + -0.3n + n2 = -1.5775 Factor a perfect square on the left side: (n + -0.15)(n + -0.15) = -1.5775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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