0=ln(x^2+5)+0.5x+1

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Solution for 0=ln(x^2+5)+0.5x+1 equation:


Simplifying
0 = ln(x2 + 5) + 0.5x + 1

Reorder the terms:
0 = ln(5 + x2) + 0.5x + 1
0 = (5 * ln + x2 * ln) + 0.5x + 1
0 = (5ln + lnx2) + 0.5x + 1

Reorder the terms:
0 = 1 + 5ln + lnx2 + 0.5x

Solving
0 = 1 + 5ln + lnx2 + 0.5x

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
0 + -5ln = 1 + 5ln + lnx2 + -5ln + 0.5x
Remove the zero:
-5ln = 1 + 5ln + lnx2 + -5ln + 0.5x

Reorder the terms:
-5ln = 1 + 5ln + -5ln + lnx2 + 0.5x

Combine like terms: 5ln + -5ln = 0
-5ln = 1 + 0 + lnx2 + 0.5x
-5ln = 1 + lnx2 + 0.5x

Add '-1lnx2' to each side of the equation.
-5ln + -1lnx2 = 1 + lnx2 + -1lnx2 + 0.5x

Combine like terms: lnx2 + -1lnx2 = 0
-5ln + -1lnx2 = 1 + 0 + 0.5x
-5ln + -1lnx2 = 1 + 0.5x

Reorder the terms:
-1 + -5ln + -1lnx2 + -0.5x = 1 + 0.5x + -1 + -0.5x

Reorder the terms:
-1 + -5ln + -1lnx2 + -0.5x = 1 + -1 + 0.5x + -0.5x

Combine like terms: 1 + -1 = 0
-1 + -5ln + -1lnx2 + -0.5x = 0 + 0.5x + -0.5x
-1 + -5ln + -1lnx2 + -0.5x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1 + -5ln + -1lnx2 + -0.5x = 0.0

The solution to this equation could not be determined.

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