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(4x-4)(4x-44)=0
We multiply parentheses ..
(+16x^2-176x-16x+176)=0
We get rid of parentheses
16x^2-176x-16x+176=0
We add all the numbers together, and all the variables
16x^2-192x+176=0
a = 16; b = -192; c = +176;
Δ = b2-4ac
Δ = -1922-4·16·176
Δ = 25600
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{25600}=160$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-192)-160}{2*16}=\frac{32}{32} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-192)+160}{2*16}=\frac{352}{32} =11 $
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