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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

4x(x+3)-(+5x)=0

We multiply parentheses

4x^2+12x-(+5x)=0

We get rid of parentheses

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

We add all the numbers together, and all the variables

4x^2+7x=0

a = 4; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·4·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*4}=\frac{-14}{8}
=-1+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*4}=\frac{0}{8}
=0
$