x(3-15x)=0

Solution for x(3-15x)=0 equation:

x(3-15x)=0

We add all the numbers together, and all the variables

x(-15x+3)=0

We multiply parentheses

-15x^2+3x=0

a = -15; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-15)·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*-15}=\frac{-6}{-30}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-15}=\frac{0}{-30}
=0
$