Y=-5x(2)+30x-25

Solution for Y=-5x(2)+30x-25 equation:

=-5Y(2)+30Y-25

We move all terms to the left:

-(-5Y(2)+30Y-25)=0

We add all the numbers together, and all the variables

-(-5Y^2+30Y-25)=0

We get rid of parentheses

5Y^2-30Y+25=0

a = 5; b = -30; c = +25;
Δ = b2-4ac
Δ = -302-4·5·25
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-20}{2*5}=\frac{10}{10}
=1
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+20}{2*5}=\frac{50}{10}
=5
$