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Simplifying -4Ln(x) + ln(4y) + -1ln(3z) = 0 Multiply nL * x -4nxL + ln(4y) + -1ln(3z) = 0 Remove parenthesis around (4y) -4nxL + ln * 4y + -1ln(3z) = 0 Reorder the terms for easier multiplication: -4nxL + 4ln * y + -1ln(3z) = 0 Multiply ln * y -4nxL + 4lny + -1ln(3z) = 0 Remove parenthesis around (3z) -4nxL + 4lny + -1ln * 3z = 0 Reorder the terms for easier multiplication: -4nxL + 4lny + -1 * 3ln * z = 0 Multiply -1 * 3 -4nxL + 4lny + -3ln * z = 0 Multiply ln * z -4nxL + 4lny + -3lnz = 0 Reorder the terms: 4lny + -3lnz + -4nxL = 0 Solving 4lny + -3lnz + -4nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4nxL' to each side of the equation. 4lny + -3lnz + -4nxL + 4nxL = 0 + 4nxL Combine like terms: -4nxL + 4nxL = 0 4lny + -3lnz + 0 = 0 + 4nxL 4lny + -3lnz = 0 + 4nxL Remove the zero: 4lny + -3lnz = 4nxL Combine like terms: 4nxL + -4nxL = 0 4lny + -3lnz + -4nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4ly + -3lz + -4xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(4ly + -3lz + -4xL)' equal to zero and attempt to solve: Simplifying 4ly + -3lz + -4xL = 0 Solving 4ly + -3lz + -4xL = 0 Move all terms containing l to the left, all other terms to the right. Add '4xL' to each side of the equation. 4ly + -3lz + -4xL + 4xL = 0 + 4xL Combine like terms: -4xL + 4xL = 0 4ly + -3lz + 0 = 0 + 4xL 4ly + -3lz = 0 + 4xL Remove the zero: 4ly + -3lz = 4xL 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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