10x(x-23)=0

Solution for 10x(x-23)=0 equation:

10x(x-23)=0

We multiply parentheses

10x^2-230x=0

a = 10; b = -230; c = 0;
Δ = b2-4ac
Δ = -2302-4·10·0
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-230)-230}{2*10}=\frac{0}{20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-230)+230}{2*10}=\frac{460}{20}
=23
$