8x(4=8)/12

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Solution for 8x(4=8)/12 equation:



8x(4=8)/12
We move all terms to the left:
8x(4-(8)/12)=0
We add all the numbers together, and all the variables
8x(-8/12+4)=0
We multiply parentheses
-64x^2+32x=0
a = -64; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·(-64)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*-64}=\frac{-64}{-128} =1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*-64}=\frac{0}{-128} =0 $

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