X(3-5x)=0

Solution for X(3-5x)=0 equation:

X(3-5X)=0

We add all the numbers together, and all the variables

X(-5X+3)=0

We multiply parentheses

-5X^2+3X=0

a = -5; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-5)·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*-5}=\frac{-6}{-10}
=3/5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-5}=\frac{0}{-10}
=0
$