-5y(2y-15)+4y=3

Solution for -5y(2y-15)+4y=3 equation:

-5y(2y-15)+4y=3

We move all terms to the left:

-5y(2y-15)+4y-(3)=0

We add all the numbers together, and all the variables

4y-5y(2y-15)-3=0

We multiply parentheses

-10y^2+4y+75y-3=0

We add all the numbers together, and all the variables

-10y^2+79y-3=0

a = -10; b = 79; c = -3;
Δ = b2-4ac
Δ = 792-4·(-10)·(-3)
Δ = 6121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(79)-\sqrt{6121}}{2*-10}=\frac{-79-\sqrt{6121}}{-20}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(79)+\sqrt{6121}}{2*-10}=\frac{-79+\sqrt{6121}}{-20}
$