3x(8x-11)=0

Solution for 3x(8x-11)=0 equation:

3x(8x-11)=0

We multiply parentheses

24x^2-33x=0

a = 24; b = -33; c = 0;
Δ = b2-4ac
Δ = -332-4·24·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-33}{2*24}=\frac{0}{48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+33}{2*24}=\frac{66}{48}
=1+3/8
$