(4*8y)=8y*8y-2912

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Solution for (4*8y)=8y*8y-2912 equation:



(4*8y)=8y*8y-2912
We move all terms to the left:
(4*8y)-(8y*8y-2912)=0
We add all the numbers together, and all the variables
(+4*8y)-(8y*8y-2912)=0
We get rid of parentheses
4*8y-8y*8y+2912=0
Wy multiply elements
-64y^2+32y+2912=0
a = -64; b = 32; c = +2912;
Δ = b2-4ac
Δ = 322-4·(-64)·2912
Δ = 746496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{746496}=864$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-864}{2*-64}=\frac{-896}{-128} =+7 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+864}{2*-64}=\frac{832}{-128} =-6+1/2 $

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