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Simplifying ln(4x + 7y + 6z) = 0 (4x * ln + 7y * ln + 6z * ln) = 0 (4lnx + 7lny + 6lnz) = 0 Solving 4lnx + 7lny + 6lnz = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(4x + 7y + 6z) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(4x + 7y + 6z)' equal to zero and attempt to solve: Simplifying 4x + 7y + 6z = 0 Solving 4x + 7y + 6z = 0 Move all terms containing l to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + 7y + -4x + 6z = 0 + -4x Reorder the terms: 4x + -4x + 7y + 6z = 0 + -4x Combine like terms: 4x + -4x = 0 0 + 7y + 6z = 0 + -4x 7y + 6z = 0 + -4x Remove the zero: 7y + 6z = -4x Add '-7y' to each side of the equation. 7y + -7y + 6z = -4x + -7y Combine like terms: 7y + -7y = 0 0 + 6z = -4x + -7y 6z = -4x + -7y Add '-6z' to each side of the equation. 6z + -6z = -4x + -7y + -6z Combine like terms: 6z + -6z = 0 0 = -4x + -7y + -6z Simplifying 0 = -4x + -7y + -6z 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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