8(9+9y)(6+7y)=0

Solution for 8(9+9y)(6+7y)=0 equation:

8(9+9y)(6+7y)=0

We add all the numbers together, and all the variables

8(9y+9)(7y+6)=0

We multiply parentheses ..

8(+63y^2+54y+63y+54)=0

We multiply parentheses

504y^2+432y+504y+432=0

We add all the numbers together, and all the variables

504y^2+936y+432=0

a = 504; b = 936; c = +432;
Δ = b2-4ac
Δ = 9362-4·504·432
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(936)-72}{2*504}=\frac{-1008}{1008}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(936)+72}{2*504}=\frac{-864}{1008}
=-6/7
$