(X-8)(x-8)*4=1296

Solution for (X-8)(x-8)*4=1296 equation:

(X-8)(X-8)*4=1296

We move all terms to the left:

(X-8)(X-8)*4-(1296)=0

We multiply parentheses ..

(+X^2-8X-8X+64)*4-1296=0

We multiply parentheses

4X^2-32X-32X+256-1296=0

We add all the numbers together, and all the variables

4X^2-64X-1040=0

a = 4; b = -64; c = -1040;
Δ = b2-4ac
Δ = -642-4·4·(-1040)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-144}{2*4}=\frac{-80}{8}
=-10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+144}{2*4}=\frac{208}{8}
=26
$