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-2x(8x-8)=-16
We move all terms to the left:
-2x(8x-8)-(-16)=0
We add all the numbers together, and all the variables
-2x(8x-8)+16=0
We multiply parentheses
-16x^2+16x+16=0
a = -16; b = 16; c = +16;
Δ = b2-4ac
Δ = 162-4·(-16)·16
Δ = 1280
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1280}=\sqrt{256*5}=\sqrt{256}*\sqrt{5}=16\sqrt{5}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16\sqrt{5}}{2*-16}=\frac{-16-16\sqrt{5}}{-32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16\sqrt{5}}{2*-16}=\frac{-16+16\sqrt{5}}{-32} $
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