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Simplifying 3n + -4n(n + -1) = 16 Reorder the terms: 3n + -4n(-1 + n) = 16 3n + (-1 * -4n + n * -4n) = 16 3n + (4n + -4n2) = 16 Combine like terms: 3n + 4n = 7n 7n + -4n2 = 16 Solving 7n + -4n2 = 16 Solving for variable 'n'. Reorder the terms: -16 + 7n + -4n2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 7n + -4n2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 4 + -1.75n + n2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.75n + -4 + n2 = 0 + -4 Reorder the terms: 4 + -4 + -1.75n + n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.75n + n2 = 0 + -4 -1.75n + n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.75n + n2 = -4 The n term is -1.75n. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75n + 0.765625 + n2 = -4 + 0.765625 Reorder the terms: 0.765625 + -1.75n + n2 = -4 + 0.765625 Combine like terms: -4 + 0.765625 = -3.234375 0.765625 + -1.75n + n2 = -3.234375 Factor a perfect square on the left side: (n + -0.875)(n + -0.875) = -3.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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