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8x*8x=64x
We move all terms to the left:
8x*8x-(64x)=0
We add all the numbers together, and all the variables
-64x+8x*8x=0
Wy multiply elements
64x^2-64x=0
a = 64; b = -64; c = 0;
Δ = b2-4ac
Δ = -642-4·64·0
Δ = 4096
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{4096}=64$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-64}{2*64}=\frac{0}{128} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+64}{2*64}=\frac{128}{128} =1 $
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