(10y-6)(7y-6)=0

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Solution for (10y-6)(7y-6)=0 equation:



(10y-6)(7y-6)=0
We multiply parentheses ..
(+70y^2-60y-42y+36)=0
We get rid of parentheses
70y^2-60y-42y+36=0
We add all the numbers together, and all the variables
70y^2-102y+36=0
a = 70; b = -102; c = +36;
Δ = b2-4ac
Δ = -1022-4·70·36
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-102)-18}{2*70}=\frac{84}{140} =3/5 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-102)+18}{2*70}=\frac{120}{140} =6/7 $

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