25x(3x-700)=0

Solution for 25x(3x-700)=0 equation:

25x(3x-700)=0

We multiply parentheses

75x^2-17500x=0

a = 75; b = -17500; c = 0;
Δ = b2-4ac
Δ = -175002-4·75·0
Δ = 306250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{306250000}=17500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17500)-17500}{2*75}=\frac{0}{150}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17500)+17500}{2*75}=\frac{35000}{150}
=233+1/3
$