x*(6-3x)/2=1.5

Solution for x*(6-3x)/2=1.5 equation:

x(6-3x)/2=1.5

We move all terms to the left:

x(6-3x)/2-(1.5)=0

We add all the numbers together, and all the variables

x(-3x+6)/2-(1.5)=0

We add all the numbers together, and all the variables

x(-3x+6)/2-1.5=0

We multiply all the terms by the denominator


x(-3x+6)-(1.5)*2=0

We add all the numbers together, and all the variables

x(-3x+6)-3=0

We multiply parentheses

-3x^2+6x-3=0

a = -3; b = 6; c = -3;
Δ = b2-4ac
Δ = 62-4·(-3)·(-3)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-6}{-6}=1$