Y=25x^2+9x-30

Solution for Y=25x^2+9x-30 equation:

=25Y^2+9Y-30

We move all terms to the left:

-(25Y^2+9Y-30)=0

We get rid of parentheses

-25Y^2-9Y+30=0

a = -25; b = -9; c = +30;
Δ = b2-4ac
Δ = -92-4·(-25)·30
Δ = 3081
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{-(-9)-\sqrt{3081}}{2*-25}=\frac{9-\sqrt{3081}}{-50}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{3081}}{2*-25}=\frac{9+\sqrt{3081}}{-50}
$