2x(8-x)=A

Solution for 2x(8-x)=A equation:

2x(8-x)=

We move all terms to the left:

2x(8-x)-()=0

We add all the numbers together, and all the variables

2x(-1x+8)-()=0

We add all the numbers together, and all the variables

2x(-1x+8)=0

We multiply parentheses

-2x^2+16x=0

a = -2; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·(-2)·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*-2}=\frac{-32}{-4}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*-2}=\frac{0}{-4}
=0
$