y*2y*7=14y

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Solution for y*2y*7=14y equation:



y*2y*7=14y
We move all terms to the left:
y*2y*7-(14y)=0
We add all the numbers together, and all the variables
-14y+y*2y*7=0
Wy multiply elements
14y^2*7-14y=0
Wy multiply elements
98y^2-14y=0
a = 98; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·98·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*98}=\frac{0}{196} =0 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*98}=\frac{28}{196} =1/7 $

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