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Simplifying 7ln(x + 6) + -2lnxz = 0 Reorder the terms: 7ln(6 + x) + -2lnxz = 0 (6 * 7ln + x * 7ln) + -2lnxz = 0 (42ln + 7lnx) + -2lnxz = 0 Solving 42ln + 7lnx + -2lnxz = 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(42 + 7x + -2xz) = 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 '(42 + 7x + -2xz)' equal to zero and attempt to solve: Simplifying 42 + 7x + -2xz = 0 Solving 42 + 7x + -2xz = 0 Move all terms containing l to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 7x + -42 + -2xz = 0 + -42 Reorder the terms: 42 + -42 + 7x + -2xz = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x + -2xz = 0 + -42 7x + -2xz = 0 + -42 Combine like terms: 0 + -42 = -42 7x + -2xz = -42 Add '-7x' to each side of the equation. 7x + -7x + -2xz = -42 + -7x Combine like terms: 7x + -7x = 0 0 + -2xz = -42 + -7x -2xz = -42 + -7x Add '2xz' to each side of the equation. -2xz + 2xz = -42 + -7x + 2xz Combine like terms: -2xz + 2xz = 0 0 = -42 + -7x + 2xz Simplifying 0 = -42 + -7x + 2xz 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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