answer :
a. Multiply each side of the equation by x(x+5)
(so you can have 1 denominator)
b. square each side (to get rid of the square root sign on the left side
c. Raise each side of the equation to the power 2/5
(its helps get rid of ^5/2 in (x+5)^5/2 & on the right side of the equal sign 2 is 5th root of 32)
d. Let u=(x+5)^1/3 and u² = (x+5)^2/3
(u is usually used when x has big exponent &
needs to be factored so it looks like
u^2 - u - 2 = 0 which is easier to factor.
after factoring you can bring back the original
(x+5)^2/3 & (x+5)^1/3 )
e. Cube each side of the equation
(cube root is the same on the left & right side of the equal sign so you can take it out)