8x(2x+3)=0

Solution for 8x(2x+3)=0 equation:

8x(2x+3)=0

We multiply parentheses

16x^2+24x=0

a = 16; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·16·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*16}=\frac{-48}{32}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*16}=\frac{0}{32}
=0
$