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Simplifying Ln(x2) + 5ln(x) + -9ln(x) = -9ln Multiply nL * x2 nx2L + 5ln(x) + -9ln(x) = -9ln Multiply ln * x nx2L + 5lnx + -9ln(x) = -9ln Multiply ln * x nx2L + 5lnx + -9lnx = -9ln Reorder the terms: 5lnx + -9lnx + nx2L = -9ln Combine like terms: 5lnx + -9lnx = -4lnx -4lnx + nx2L = -9ln Solving -4lnx + nx2L = -9ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '9ln' to each side of the equation. -4lnx + 9ln + nx2L = -9ln + 9ln Reorder the terms: 9ln + -4lnx + nx2L = -9ln + 9ln Combine like terms: -9ln + 9ln = 0 9ln + -4lnx + nx2L = 0 Add '-1nx2L' to each side of the equation. 9ln + -4lnx + nx2L + -1nx2L = 0 + -1nx2L Combine like terms: nx2L + -1nx2L = 0 9ln + -4lnx + 0 = 0 + -1nx2L 9ln + -4lnx = 0 + -1nx2L Remove the zero: 9ln + -4lnx = -1nx2L Combine like terms: -1nx2L + nx2L = 0 9ln + -4lnx + nx2L = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(9l + -4lx + x2L) = 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 '(9l + -4lx + x2L)' equal to zero and attempt to solve: Simplifying 9l + -4lx + x2L = 0 Solving 9l + -4lx + x2L = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x2L' to each side of the equation. 9l + -4lx + x2L + -1x2L = 0 + -1x2L Combine like terms: x2L + -1x2L = 0 9l + -4lx + 0 = 0 + -1x2L 9l + -4lx = 0 + -1x2L Remove the zero: 9l + -4lx = -1x2L 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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