52=x(2x-3)/2

Solution for 52=x(2x-3)/2 equation:

52=x(2x-3)/2

We move all terms to the left:

52-(x(2x-3)/2)=0

We multiply all the terms by the denominator


-(x(2x-3)+52*2)=0


We calculate terms in parentheses: -(x(2x-3)+52*2), so:

x(2x-3)+52*2

We add all the numbers together, and all the variables

x(2x-3)+104

We multiply parentheses

2x^2-3x+104

Back to the equation:

-(2x^2-3x+104)


We get rid of parentheses

-2x^2+3x-104=0

a = -2; b = 3; c = -104;
Δ = b2-4ac
Δ = 32-4·(-2)·(-104)
Δ = -823
Delta is less than zero, so there is no solution for the equation