3d(2d+5+3)=0

Solution for 3d(2d+5+3)=0 equation:

3d(2d+5+3)=0

We add all the numbers together, and all the variables

3d(2d+8)=0

We multiply parentheses

6d^2+24d=0

a = 6; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·6·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*6}=\frac{-48}{12}
=-4
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*6}=\frac{0}{12}
=0
$