23x(x-2)=

Solution for 23x(x-2)= equation:

23x(x-2)=

We move all terms to the left:

23x(x-2)-()=0

We add all the numbers together, and all the variables

23x(x-2)=0

We multiply parentheses

23x^2-46x=0

a = 23; b = -46; c = 0;
Δ = b2-4ac
Δ = -462-4·23·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-46}{2*23}=\frac{0}{46}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+46}{2*23}=\frac{92}{46}
=2
$