Y=x^2+25x-30

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

=Y^2+25Y-30

We move all terms to the left:

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

We get rid of parentheses

-Y^2-25Y+30=0

We add all the numbers together, and all the variables

-1Y^2-25Y+30=0

a = -1; b = -25; c = +30;
Δ = b2-4ac
Δ = -252-4·(-1)·30
Δ = 745
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{-(-25)-\sqrt{745}}{2*-1}=\frac{25-\sqrt{745}}{-2}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{745}}{2*-1}=\frac{25+\sqrt{745}}{-2}
$