4(x-8)(x-8)=576

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Solution for 4(x-8)(x-8)=576 equation:



4(x-8)(x-8)=576
We move all terms to the left:
4(x-8)(x-8)-(576)=0
We multiply parentheses ..
4(+x^2-8x-8x+64)-576=0
We multiply parentheses
4x^2-32x-32x+256-576=0
We add all the numbers together, and all the variables
4x^2-64x-320=0
a = 4; b = -64; c = -320;
Δ = b2-4ac
Δ = -642-4·4·(-320)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-96}{2*4}=\frac{-32}{8} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+96}{2*4}=\frac{160}{8} =20 $

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