-10ln(4x-7)+10=-10

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Solution for -10ln(4x-7)+10=-10 equation: 


Simplifying
-10ln(4x + -7) + 10 = -10

Reorder the terms:
-10ln(-7 + 4x) + 10 = -10
(-7 * -10ln + 4x * -10ln) + 10 = -10
(70ln + -40lnx) + 10 = -10

Reorder the terms:
10 + 70ln + -40lnx = -10

Solving
10 + 70ln + -40lnx = -10

Solving for variable 'l'.

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

Add '-10' to each side of the equation.
10 + 70ln + -10 + -40lnx = -10 + -10

Reorder the terms:
10 + -10 + 70ln + -40lnx = -10 + -10

Combine like terms: 10 + -10 = 0
0 + 70ln + -40lnx = -10 + -10
70ln + -40lnx = -10 + -10

Combine like terms: -10 + -10 = -20
70ln + -40lnx = -20

Reorder the terms:
20 + 70ln + -40lnx = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 70ln + -40lnx = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + 7ln + -4lnx) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(2 + 7ln + -4lnx)' equal to zero and attempt to solve:

Simplifying
2 + 7ln + -4lnx = 0

Solving
2 + 7ln + -4lnx = 0

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

Add '-2' to each side of the equation.
2 + 7ln + -2 + -4lnx = 0 + -2

Reorder the terms:
2 + -2 + 7ln + -4lnx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7ln + -4lnx = 0 + -2
7ln + -4lnx = 0 + -2

Combine like terms: 0 + -2 = -2
7ln + -4lnx = -2

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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