17x(3x-30)=0

Solution for 17x(3x-30)=0 equation:

17x(3x-30)=0

We multiply parentheses

51x^2-510x=0

a = 51; b = -510; c = 0;
Δ = b2-4ac
Δ = -5102-4·51·0
Δ = 260100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{260100}=510$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-510)-510}{2*51}=\frac{0}{102}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-510)+510}{2*51}=\frac{1020}{102}
=10
$