3x^2+16x+24x=0

Solution for 3x^2+16x+24x=0 equation:

3x^2+16x+24x=0

We add all the numbers together, and all the variables

3x^2+40x=0

a = 3; b = 40; c = 0;
Δ = b2-4ac
Δ = 402-4·3·0
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-40}{2*3}=\frac{-80}{6}
=-13+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+40}{2*3}=\frac{0}{6}
=0
$