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(44-2x)(28-2x)=512
We move all terms to the left:
(44-2x)(28-2x)-(512)=0
We add all the numbers together, and all the variables
(-2x+44)(-2x+28)-512=0
We multiply parentheses ..
(+4x^2-56x-88x+1232)-512=0
We get rid of parentheses
4x^2-56x-88x+1232-512=0
We add all the numbers together, and all the variables
4x^2-144x+720=0
a = 4; b = -144; c = +720;
Δ = b2-4ac
Δ = -1442-4·4·720
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-96}{2*4}=\frac{48}{8} =6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+96}{2*4}=\frac{240}{8} =30 $
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