Question 334076
{{{ 5(1-x)+3((2x+1)/(4-3x))=-1/2))}}}
..
LCM = (4-3x)
..
{{{(5(1-x)(4-3x)+3(2x+1))/(4-3x) = -1/2}}}
..
{{{(5(4-7x+3x^2)+6x+3 ) /(4-3x)= -1/2}}}
..
{{{(20-35x+15x^2+6x+3) /(4-3x)=-1/2}}}
..
{{{15x^2-29x+23 =(4-3x)*-1 /2}}}
..
{{{30x^2-58x+46=-4+3x}}}
..
{{{30x^2-61x+50=0}}}
..
solve for roots using quadratic formula
a= 30,b=-61c=50
..
x1= (61+sqrt((-61)^2-4*30*50))/(2*30)
x1=(61+sqrt(-2279))/60
x1= 1.066667 +0.795647884i
x2=x1= 1.066667 -0.795647884i