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)
y = (1/2)*(x-3)^2 // - (1/2)*(x-3)^2
y-((1/2)*(x-3)^2) = 0
(-1/2)*(x-3)^2+y = 0
y-1/2*(x-3)^2 = 0
y-1/2*(x-3)^2 = 0
3*x-1/2*x^2+y-9/2 = 0
3*x-1/2*x^2+y-9/2 = 0
3*x-1/2*x^2+y-9/2 = 0
DELTA = 3^2-(-1/2*4*(y-9/2))
DELTA = 2*(y-9/2)+9
2*(y-9/2)+9 = 0
2*(y-9/2)+9 = 0
2*y = 0
2*y = 0
2*y = 0 // : 2
y = 0
DELTA = 0 <=> t_3 = 0
x = -3/(-1/2*2) i y = 0
x = 3 i y = 0
( x = ((2*(y-9/2)+9)^(1/2)-3)/(-1/2*2) or x = (-(2*(y-9/2)+9)^(1/2)-3)/(-1/2*2) ) i y > 0
( x = 3-(2*(y-9/2)+9)^(1/2) or x = (2*(y-9/2)+9)^(1/2)+3 ) i y > 0
y+0 > 0
y > 0
y+0 > 0 // - 0
y > 0
x in { 3, 3-(2*(y-9/2)+9)^(1/2), (2*(y-9/2)+9)^(1/2)+3 }
| 3x+y=4.5 | | 17x=6/7 | | 2a-3d+5d-a=0 | | y=5x^2-4x+2 | | 6x^3+9x=3x | | 4y=-5x+5 | | sin^2x+cos(2)x-cosx=0 | | Y=8x+18z | | C(x)=0.8x+900 | | 2x+1=x+28 | | x/45=2/9 | | 22=4-7n-2n | | 2x+x+5=50 | | 8=k/3-2 | | x-517=132 | | x^2/3-7x^1/3=30 | | x+517=132 | | 3x+27=204 | | 3z-1+2+7=90 | | x+6+(2x-2)=54 | | v^2-7vg-30g^2=0 | | -3(5n+1)=9 | | 2Z^2+5Z+4= | | 6.6x-3.6=16.2 | | 95=-7-2(5-8p) | | X-1111/8 | | t^2-11tu+24u^2=0 | | (T+2)(4t^2+11-3)=0 | | 8Y^2-22Y+14= | | -7m-6+1=9 | | 58+48b=-12(60b+125) | | -53+14n=-20(5n+4) |