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)
a = (1/2)*(3*x+2)*(4*x-5) // - (1/2)*(3*x+2)*(4*x-5)
a-((1/2)*(3*x+2)*(4*x-5)) = 0
(-1/2)*(4*x-5)*(3*x+2)+a = 0
a-1/2*(4*x-5)*(3*x+2) = 0
a-1/2*(4*x-5)*(3*x+2) = 0
a-6*x^2+7/2*x+5 = 0
a-6*x^2+7/2*x+5 = 0
a-6*x^2+7/2*x+5 = 0
DELTA = (7/2)^2-(-6*4*(a+5))
DELTA = 24*(a+5)+49/4
24*(a+5)+49/4 = 0
(4*24*(a+5))/4+49/4 = 0
4*24*(a+5)+49 = 0
96*a+529 = 0
(96*a+529)/4 = 0
(96*a+529)/4 = 0 // * 4
96*a+529 = 0
96*a+529 = 0 // - 529
96*a = -529 // : 96
a = -529/96
DELTA = 0 <=> t_3 = -529/96
x = -7/2/(-6*2) i a = -529/96
x = 7/24 i a = -529/96
( x = ((24*(a+5)+49/4)^(1/2)-7/2)/(-6*2) or x = (-(24*(a+5)+49/4)^(1/2)-7/2)/(-6*2) ) i a > -529/96
( x = ((24*(a+5)+49/4)^(1/2)-7/2)/(-12) or x = ((24*(a+5)+49/4)^(1/2)+7/2)/12 ) i a > -529/96
a-(-529/96) > 0
a+529/96 > 0
a+529/96 > 0 // - 529/96
a > -529/96
x in { 7/24, ((24*(a+5)+49/4)^(1/2)-7/2)/(-12), ((24*(a+5)+49/4)^(1/2)+7/2)/12 }
| 9n^2+30n-10=0 | | 4x+8y=30.6 | | 2/5/5/4= | | 4x+3x+2x=63 | | 7(x-8)+19=-6 | | 12.3+t=4.7 | | m=(-9+6)/(-5+7) | | ax-w=3solvex | | y+1/4=-3/8 | | -2.8*2.8-2.6y=-9.1 | | -x+5+3=4-5x+17 | | -2.8*.28-2.6y=-9.1 | | (-5+5)/(-3+5) | | .67= | | 3-4x=3x+24 | | 2x-6-4x=-20 | | 5x-25=3x | | -9y+6-y=26 | | -5(n-7)=-10(n+6) | | 13=5x-x+9 | | 3x+4y+3=0 | | 6(q-7)-3(4-q)=0 | | (5ab^2)(-2ab^2)=x | | -7/8x+13/4=13 | | -2y+5-4y+2=19 | | 3(x-2)+5(2-x)=16 | | 3.5=2x+1 | | 3=-1(v-4)+4(2v-9) | | 6x^2+26x-76=0 | | -6(x+3)=6-6(x+1) | | (x+8)10= | | x/7-9=-10+3/7x |