5x^2+12x+4x=0

Solution for 5x^2+12x+4x=0 equation:

5x^2+12x+4x=0

We add all the numbers together, and all the variables

5x^2+16x=0

a = 5; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·5·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*5}=\frac{-32}{10}
=-3+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*5}=\frac{0}{10}
=0
$