If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x in (-oo:+oo)
((x-1)^2)/2-(((x-1)^2)/3) = 8/3 // - 8/3
((x-1)^2)/2-(((x-1)^2)/3)-(8/3) = 0
((x-1)^2)/2-(((x-1)^2)/3)-8/3 = 0
((x-1)^2)/2+(-1*(x-1)^2)/3-8/3 = 0
(3*(x-1)^2)/(2*3)+(-1*2*(x-1)^2)/(2*3)+(-8*2)/(2*3) = 0
3*(x-1)^2-1*2*(x-1)^2-8*2 = 0
x^2-2*x-16+1 = 0
x^2-2*x-15 = 0
x^2-2*x-15 = 0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
(x+3)*(x-5) = 0
((x+3)*(x-5))/(2*3) = 0
((x+3)*(x-5))/(2*3) = 0 // * 2*3
(x+3)*(x-5) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -3, 5 }
| 82/3=x | | 4+3b+2b+7a= | | 5/3y-7/4=-3y+2/3 | | 2a-5=5a-7a+7 | | y^3-3y^2-16y+48=0 | | -7u+6/5=-3/2u-6/5 | | 8m-8=-42+2m | | ((3x)/(x-7))-((x+7)/x) | | -1/8=-1/2v-9/4 | | -7/2-5/3w=3/7 | | 6p=18.75 | | 5x^2+1=36 | | 22+512/-40*5 | | 1/2(x+6)+2x+5=23 | | 2r^2=9r-10 | | x=85t-16t^2 | | 8j-5+j=64 | | X^2=-293 | | 4u^2-36u+81= | | 16x+4-13x+15=90 | | 1.5x+6+2x+5=23 | | 7(a+6)=10[a-(5-a)] | | 9/3-3x/3=-10x+21 | | -3-x=10x+21 | | 12x+19=18x-7 | | 4(-6)+(1)=7 | | (x/2)=(x/11)+18 | | -12x-4y=16 | | -3(2p-4)=24 | | 3/4x-6 | | 7/7w-35 | | 7/7x-35 |