9(16y^2/25)+5y=0

Solution for 9(16y^2/25)+5y=0 equation:

9(16y^2/25)+5y=0

We add all the numbers together, and all the variables

5y+9(16y^2/25)=0

We multiply parentheses

144y^2+5y=0

a = 144; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·144·0
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*144}=\frac{-10}{288}
=-5/144
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*144}=\frac{0}{288}
=0
$