3(5-5x)5x=0

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

3(5-5x)5x=0

We add all the numbers together, and all the variables

3(-5x+5)5x=0

We multiply parentheses

-75x^2+75x=0

a = -75; b = 75; c = 0;
Δ = b2-4ac
Δ = 752-4·(-75)·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-75}{2*-75}=\frac{-150}{-150}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+75}{2*-75}=\frac{0}{-150}
=0
$