4x(-75x+1)=0

Solution for 4x(-75x+1)=0 equation:

4x(-75x+1)=0

We multiply parentheses

-300x^2+4x=0

a = -300; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-300)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-300}=\frac{-8}{-600}
=1/75
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-300}=\frac{0}{-600}
=0
$