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Simplifying 3In(xy) + -2In(x2) + 4In(x + 1) = 0 Multiply nI * xy 3nxyI + -2In(x2) + 4In(x + 1) = 0 Multiply nI * x2 3nxyI + -2nx2I + 4In(x + 1) = 0 Reorder the terms: 3nxyI + -2nx2I + 4nI(1 + x) = 0 3nxyI + -2nx2I + (1 * 4nI + x * 4nI) = 0 3nxyI + -2nx2I + (4nI + 4nxI) = 0 Reorder the terms: 4nI + 4nxI + 3nxyI + -2nx2I = 0 Solving 4nI + 4nxI + 3nxyI + -2nx2I = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nI'. nI(4 + 4x + 3xy + -2x2) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + 4x + 3xy + -2x2)' equal to zero and attempt to solve: Simplifying 4 + 4x + 3xy + -2x2 = 0 Solving 4 + 4x + 3xy + -2x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4x + 3xy + -4 + -2x2 = 0 + -4 Reorder the terms: 4 + -4 + 4x + 3xy + -2x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x + 3xy + -2x2 = 0 + -4 4x + 3xy + -2x2 = 0 + -4 Combine like terms: 0 + -4 = -4 4x + 3xy + -2x2 = -4 Add '-4x' to each side of the equation. 4x + 3xy + -4x + -2x2 = -4 + -4x Reorder the terms: 4x + -4x + 3xy + -2x2 = -4 + -4x Combine like terms: 4x + -4x = 0 0 + 3xy + -2x2 = -4 + -4x 3xy + -2x2 = -4 + -4x Add '-3xy' to each side of the equation. 3xy + -3xy + -2x2 = -4 + -4x + -3xy Combine like terms: 3xy + -3xy = 0 0 + -2x2 = -4 + -4x + -3xy -2x2 = -4 + -4x + -3xy Add '2x2' to each side of the equation. -2x2 + 2x2 = -4 + -4x + -3xy + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 = -4 + -4x + -3xy + 2x2 Simplifying 0 = -4 + -4x + -3xy + 2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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