Question 404252
The way you typed this, I'm not sure if it's
{{{1/4 = 32x - 1/(x + 2)}}}
Multiply both sides by {{{4*(x+2)}}}
{{{x + 2 = 32x*4*(x + 2) - 4}}}
{{{x + 2 = 128x^2 + 256x - 4}}}
{{{128x^2 + 255x - 6 = 0}}}
This can be solved using quadratic formula
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or, if this is the problem:
{{{1/4 = 32x - 1/x + 2}}} 
Multiply both sides by {{{4x}}}
{{{x = 128 - 4 + 8x}}}
{{{7x = -124}}}
{{{x = - 124/7}}}