X(3-x)/(2x-1)=0

Solution for X(3-x)/(2x-1)=0 equation:

X(3-X)/(2X-1)=0


Domain of the equation: (2X-1)!=0

We move all terms containing X to the left, all other terms to the right

2X!=1

X!=1/2

X!=1/2

X∈R


We add all the numbers together, and all the variables

X(-1X+3)/(2X-1)=0

We multiply all the terms by the denominator


X(-1X+3)=0

We multiply parentheses

-1X^2+3X=0

a = -1; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-1)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-1}=\frac{-6}{-2}
=+3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-1}=\frac{0}{-2}
=0
$