7xln(x+2)+2x=0

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Solution for 7xln(x+2)+2x=0 equation: 


Simplifying
7xln(x + 2) + 2x = 0

Reorder the terms:
7lnx(2 + x) + 2x = 0
(2 * 7lnx + x * 7lnx) + 2x = 0
(14lnx + 7lnx2) + 2x = 0

Solving
14lnx + 7lnx2 + 2x = 0

Solving for variable 'l'.

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

Add '-2x' to each side of the equation.
14lnx + 7lnx2 + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
14lnx + 7lnx2 + 0 = 0 + -2x
14lnx + 7lnx2 = 0 + -2x
Remove the zero:
14lnx + 7lnx2 = -2x

Combine like terms: -2x + 2x = 0
14lnx + 7lnx2 + 2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14ln + 7lnx + 2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(14ln + 7lnx + 2)' equal to zero and attempt to solve:

Simplifying
14ln + 7lnx + 2 = 0

Reorder the terms:
2 + 14ln + 7lnx = 0

Solving
2 + 14ln + 7lnx = 0

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

Add '-2' to each side of the equation.
2 + 14ln + -2 + 7lnx = 0 + -2

Reorder the terms:
2 + -2 + 14ln + 7lnx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 14ln + 7lnx = 0 + -2
14ln + 7lnx = 0 + -2

Combine like terms: 0 + -2 = -2
14ln + 7lnx = -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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