2(x-20)(X=24)

Solution for 2(x-20)(X=24) equation:

2(x-20)(x=24)

We move all terms to the left:

2(x-20)(x-(24))=0

We multiply parentheses ..

2(+x^2-24x-20x+480)=0

We multiply parentheses

2x^2-48x-40x+960=0

We add all the numbers together, and all the variables

2x^2-88x+960=0

a = 2; b = -88; c = +960;
Δ = b2-4ac
Δ = -882-4·2·960
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-8}{2*2}=\frac{80}{4}
=20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+8}{2*2}=\frac{96}{4}
=24
$