Question 173909
<pre><font size = 4 color = "indigo"><b>
{{{x = (y^3/512) + (3y^2/64) + (3y/8) + (1)}}}

{{{x = (y/8 + 1)^3}}}

Take cube roots of both sides:

{{{root(3,x) = root(3,(y/8 + 1)^3)}}}

{{{root(3,x) = y/8 + 1}}}

Multiply thru by 8

{{{8root(3,x) = y + 8}}}

{{{8root(3,x) -8 = y }}}

{{{8(root(3,x)-1)=y}}}

{{{y=8(root(3,x)-1)}}}

Edwin</pre>