(5/2)y-30=y+30

Solution for (5/2)y-30=y+30 equation:

(5/2)y-30=y+30

We move all terms to the left:

(5/2)y-30-(y+30)=0


Domain of the equation: 2)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+5/2)y-(y+30)-30=0

We multiply parentheses

5y^2-(y+30)-30=0

We get rid of parentheses

5y^2-y-30-30=0

We add all the numbers together, and all the variables

5y^2-1y-60=0

a = 5; b = -1; c = -60;
Δ = b2-4ac
Δ = -12-4·5·(-60)
Δ = 1201
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{-(-1)-\sqrt{1201}}{2*5}=\frac{1-\sqrt{1201}}{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1201}}{2*5}=\frac{1+\sqrt{1201}}{10}
$