Question 113351
Assume you mean:
{{{1/4}}} = {{{3-2x-1/(x+2)}}}
:
Get rid of the denominators, multiply equation by 4(x+2)
4(x+2)*{{{1/4}}} = 4(x+2)(3) - 4(x+2)(2x) - 4(x+2)*{{{1/(x+2)}}}
:
Cancel the denominators, multiply where needed
x + 2 = 12(x + 2)- 8x(x+2) - 4
:
x + 2 = 12x + 24 - 8x^2 - 16x - 4
:
x + 2 = -8x^2 - 4x + 20
:
+8x^2 + 4x + x + 2 - 20 = 0
:
8x^2 + 5x - 18 = 0
:
Solve for x using the quadratic formula:
{{{x = (-5 +- sqrt( 5^2 - 4 * 8 * -18 ))/(2*8) }}}
:
The approx solutions:
x = +1.220
and
x = -1.8447
:
Both solution check out in the original equation