7ln((x^2)+25)-14lnx=

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Solution for 7ln((x^2)+25)-14lnx= equation: 


Simplifying
7ln((x2) + 25) + -14lnx = 0
7ln(x2 + 25) + -14lnx = 0

Reorder the terms:
7ln(25 + x2) + -14lnx = 0
(25 * 7ln + x2 * 7ln) + -14lnx = 0
(175ln + 7lnx2) + -14lnx = 0

Reorder the terms:
175ln + -14lnx + 7lnx2 = 0

Solving
175ln + -14lnx + 7lnx2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '7ln'.
7ln(25 + -2x + x2) = 0

Ignore the factor 7.

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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(25 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
25 + -2x + x2 = 0

Solving
25 + -2x + x2 = 0

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

Add '-25' to each side of the equation.
25 + -2x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -2x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x + x2 = 0 + -25
-2x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-2x + x2 = -25

Add '2x' to each side of the equation.
-2x + 2x + x2 = -25 + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = -25 + 2x
x2 = -25 + 2x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -25 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -25 + 2x + -1x2

Simplifying
0 = -25 + 2x + -1x2

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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