0.5x(3-x)=4.3

Solution for 0.5x(3-x)=4.3 equation:

0.5x(3-x)=4.3

We move all terms to the left:

0.5x(3-x)-(4.3)=0

We add all the numbers together, and all the variables

0.5x(-1x+3)-(4.3)=0

We add all the numbers together, and all the variables

0.5x(-1x+3)-4.3=0

We multiply parentheses

0x^2+0x-4.3=0

We add all the numbers together, and all the variables

x^2+x-4.3=0

a = 1; b = 1; c = -4.3;
Δ = b2-4ac
Δ = 12-4·1·(-4.3)
Δ = 18.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{18.2}}{2*1}=\frac{-1-\sqrt{18.2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{18.2}}{2*1}=\frac{-1+\sqrt{18.2}}{2}
$