5ln(1-7p)+2=12

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Solution for 5ln(1-7p)+2=12 equation: 


Simplifying
5ln(1 + -7p) + 2 = 12
(1 * 5ln + -7p * 5ln) + 2 = 12
(5ln + -35lnp) + 2 = 12

Reorder the terms:
2 + 5ln + -35lnp = 12

Solving
2 + 5ln + -35lnp = 12

Solving for variable 'l'.

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

Add '-2' to each side of the equation.
2 + 5ln + -2 + -35lnp = 12 + -2

Reorder the terms:
2 + -2 + 5ln + -35lnp = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5ln + -35lnp = 12 + -2
5ln + -35lnp = 12 + -2

Combine like terms: 12 + -2 = 10
5ln + -35lnp = 10

Reorder the terms:
-10 + 5ln + -35lnp = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 5ln + -35lnp = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + ln + -7lnp) = 0

Ignore the factor 5.

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

Simplifying
-2 + ln + -7lnp = 0

Solving
-2 + ln + -7lnp = 0

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

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

Reorder the terms:
-2 + 2 + ln + -7lnp = 0 + 2

Combine like terms: -2 + 2 = 0
0 + ln + -7lnp = 0 + 2
ln + -7lnp = 0 + 2

Combine like terms: 0 + 2 = 2
ln + -7lnp = 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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