Question 256855
Given: {{{(1/X) - (2/X + 1) = ((5/X^2) + X) - 2}}}
Did you try multplying both sides by {{{X^2}}}?
{{{X^2 * ((1/X) - (2/X + 1)) = X^2 * (((5/X^2) + X) - 2)}}}
Distribute the X^2
{{{X^2 * (1/X) - (2/X) * X^2 - 1 * X^2 = X^2 * (5/X^2) + X * X^2) - 2 * X^2))}}}
Simplify the equation
{{{X - 2X - X^2 = 5 + X^3 - 2 * X^2}}}
Add like terms
{{{highlight(-X - X^2 = 5 + X^3 - 2 * X^2)}}}
Add X^2 to both sides
{{{-X = 5 + X^3 - 2 * X^2 + X^2}}}
Add X to both sides
{{{0 = 5 + X^3 - 2 * X^2 + X^2 + X}}}
Combine like terms
{{{highlight(0 = 5 + X^3 - X^2 + X)}}}
Hopefully that helps