25x(3x-270)=0

Solution for 25x(3x-270)=0 equation:

25x(3x-270)=0

We multiply parentheses

75x^2-6750x=0

a = 75; b = -6750; c = 0;
Δ = b2-4ac
Δ = -67502-4·75·0
Δ = 45562500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{45562500}=6750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6750)-6750}{2*75}=\frac{0}{150}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6750)+6750}{2*75}=\frac{13500}{150}
=90
$