2y(5y+6)=7y

Solution for 2y(5y+6)=7y equation:

2y(5y+6)=7y

We move all terms to the left:

2y(5y+6)-(7y)=0

We add all the numbers together, and all the variables

-7y+2y(5y+6)=0

We multiply parentheses

10y^2-7y+12y=0

We add all the numbers together, and all the variables

10y^2+5y=0

a = 10; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·10·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*10}=\frac{-10}{20}
=-1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*10}=\frac{0}{20}
=0
$