=4xln(3x-10)

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Solution for =4xln(3x-10) equation: 


Simplifying
0 = 4xln(3x + -10)

Reorder the terms:
0 = 4lnx(-10 + 3x)
0 = (-10 * 4lnx + 3x * 4lnx)
0 = (-40lnx + 12lnx2)

Solving
0 = -40lnx + 12lnx2

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '40lnx' to each side of the equation.
0 + 40lnx = -40lnx + 40lnx + 12lnx2
Remove the zero:
40lnx = -40lnx + 40lnx + 12lnx2

Combine like terms: -40lnx + 40lnx = 0
40lnx = 0 + 12lnx2
40lnx = 12lnx2

Add '-12lnx2' to each side of the equation.
40lnx + -12lnx2 = 12lnx2 + -12lnx2

Combine like terms: 12lnx2 + -12lnx2 = 0
40lnx + -12lnx2 = 0

Factor out the Greatest Common Factor (GCF), '4lnx'.
4lnx(10 + -3x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve:

Simplifying
lnx = 0

Solving
lnx = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
lnx = 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 '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

Move all terms containing l to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Add '3x' to each side of the equation.
-3x + 3x = -10 + 3x

Combine like terms: -3x + 3x = 0
0 = -10 + 3x

Simplifying
0 = -10 + 3x

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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