24=2x(2x+x)

Solution for 24=2x(2x+x) equation:

24=2x(2x+x)

We move all terms to the left:

24-(2x(2x+x))=0

We add all the numbers together, and all the variables

-(2x(+3x))+24=0


We calculate terms in parentheses: -(2x(+3x)), so:

2x(+3x)

We multiply parentheses

6x^2

Back to the equation:

-(6x^2)


a = -6; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-6)·24
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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