3x+2x(x+4)=x

Solution for 3x+2x(x+4)=x equation:

3x+2x(x+4)=x

We move all terms to the left:

3x+2x(x+4)-(x)=0

We add all the numbers together, and all the variables

2x+2x(x+4)=0

We multiply parentheses

2x^2+2x+8x=0

We add all the numbers together, and all the variables

2x^2+10x=0

a = 2; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·2·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*2}=\frac{-20}{4}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*2}=\frac{0}{4}
=0
$