Ln(x^2)+5ln(x)-9ln(x)=-9ln

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Solution for Ln(x^2)+5ln(x)-9ln(x)=-9ln equation:


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) = 0

Subproblem 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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