0=zx^2-2lnx-z

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Solution for 0=zx^2-2lnx-z equation:


Simplifying
0 = zx2 + -2lnx + -1z

Reorder the terms:
0 = -2lnx + x2z + -1z

Solving
0 = -2lnx + x2z + -1z

Solving for variable 'l'.

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

Add '2lnx' to each side of the equation.
0 + 2lnx = -2lnx + x2z + 2lnx + -1z
Remove the zero:
2lnx = -2lnx + x2z + 2lnx + -1z

Reorder the terms:
2lnx = -2lnx + 2lnx + x2z + -1z

Combine like terms: -2lnx + 2lnx = 0
2lnx = 0 + x2z + -1z
2lnx = x2z + -1z

Divide each side by '2nx'.
l = 0.5n-1xz + -0.5n-1x-1z

Simplifying
l = 0.5n-1xz + -0.5n-1x-1z

Reorder the terms:
l = -0.5n-1x-1z + 0.5n-1xz

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