The given equation is equivalent to
=
plus the condition that each factor in parentheses is positive number.
From it, we get
(x-1)*(x+3) = 4*(x+2)
x^2 - x + 3x - 3 = 4x + 8
x^2 - 2x - 11 = 0
Apply the quadratic formula and find the roots
= = = = .
One root is x = = 4.4641 (rounded).
Another root is = -2.4641 (rounded).
Only positive root is the solution to the original equation, since (x-1) is also positive.
The negative root is not the solution to the original equation, since then (x-1) is negative, too.
