In(x^2+6)-ln(8)=

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Solution for In(x^2+6)-ln(8)= equation: 


Simplifying
In(x2 + 6) + -1ln(8) = 0

Reorder the terms:
nI(6 + x2) + -1ln(8) = 0
(6 * nI + x2 * nI) + -1ln(8) = 0
(6nI + nx2I) + -1ln(8) = 0

Reorder the terms for easier multiplication:
6nI + nx2I + -1 * 8ln = 0

Multiply -1 * 8
6nI + nx2I + -8ln = 0

Reorder the terms:
-8ln + 6nI + nx2I = 0

Solving
-8ln + 6nI + nx2I = 0

Solving for variable 'l'.

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

Add '-6nI' to each side of the equation.
-8ln + 6nI + -6nI + nx2I = 0 + -6nI

Combine like terms: 6nI + -6nI = 0
-8ln + 0 + nx2I = 0 + -6nI
-8ln + nx2I = 0 + -6nI
Remove the zero:
-8ln + nx2I = -6nI

Add '-1nx2I' to each side of the equation.
-8ln + nx2I + -1nx2I = -6nI + -1nx2I

Combine like terms: nx2I + -1nx2I = 0
-8ln + 0 = -6nI + -1nx2I
-8ln = -6nI + -1nx2I

Divide each side by '-8n'.
l = 0.75I + 0.125x2I

Simplifying
l = 0.75I + 0.125x2I

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