-3=12y-5)2y-7)

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Solution for -3=12y-5)2y-7) equation:



-3=12y-5)2y-7)
We move all terms to the left:
-3-(12y-5)2y-7))=0
We add all the numbers together, and all the variables
-(12y-5)2y=0
We multiply parentheses
-24y^2+10y=0
a = -24; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-24)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-24}=\frac{-20}{-48} =5/12 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-24}=\frac{0}{-48} =0 $

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