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Simplifying 3In(x) + -4In(x + 3) + In(y) = 0 Multiply nI * x 3nxI + -4In(x + 3) + In(y) = 0 Reorder the terms: 3nxI + -4nI(3 + x) + In(y) = 0 3nxI + (3 * -4nI + x * -4nI) + In(y) = 0 3nxI + (-12nI + -4nxI) + In(y) = 0 Multiply nI * y 3nxI + -12nI + -4nxI + nyI = 0 Reorder the terms: -12nI + 3nxI + -4nxI + nyI = 0 Combine like terms: 3nxI + -4nxI = -1nxI -12nI + -1nxI + nyI = 0 Solving -12nI + -1nxI + nyI = 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(-12 + -1x + y) = 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 '(-12 + -1x + y)' equal to zero and attempt to solve: Simplifying -12 + -1x + y = 0 Solving -12 + -1x + y = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1x + 12 + y = 0 + 12 Reorder the terms: -12 + 12 + -1x + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x + y = 0 + 12 -1x + y = 0 + 12 Combine like terms: 0 + 12 = 12 -1x + y = 12 Add 'x' to each side of the equation. -1x + x + y = 12 + x Combine like terms: -1x + x = 0 0 + y = 12 + x y = 12 + x Add '-1y' to each side of the equation. y + -1y = 12 + x + -1y Combine like terms: y + -1y = 0 0 = 12 + x + -1y Simplifying 0 = 12 + x + -1y 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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