Question 912647
Any reason you must FACTOR?


An attempt:
ax^2+ax+x+a-1=0
ax^2+ax+a+x-1=0
a(x^2+x+1)+x-1=0


General Solution for Quadratic Equation.
...
{{{x=(-(a+1)+- sqrt((a+1)^2-4*a*(a-1)))/(2a)}}}
{{{x=(-a-1+- sqrt(a^2+2a+1-4a^2+4a))/(2a)}}}
{{{highlight(x=(-a-1+- sqrt(-3a^2+6a+1))/(2a))}}}
This does not seem to be simplifiable any further.