-25x(14x+70)=0

Solution for -25x(14x+70)=0 equation:

-25x(14x+70)=0

We multiply parentheses

-350x^2-1750x=0

a = -350; b = -1750; c = 0;
Δ = b2-4ac
Δ = -17502-4·(-350)·0
Δ = 3062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3062500}=1750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1750)-1750}{2*-350}=\frac{0}{-700}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1750)+1750}{2*-350}=\frac{3500}{-700}
=-5
$