(3/5)y=180

Solution for (3/5)y=180 equation:

(3/5)y=180

We move all terms to the left:

(3/5)y-(180)=0


Domain of the equation: 5)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+3/5)y-180=0

We multiply parentheses

3y^2-180=0

a = 3; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·3·(-180)
Δ = 2160
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2160}=\sqrt{144*15}=\sqrt{144}*\sqrt{15}=12\sqrt{15}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{15}}{2*3}=\frac{0-12\sqrt{15}}{6}
=-\frac{12\sqrt{15}}{6}
=-2\sqrt{15}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{15}}{2*3}=\frac{0+12\sqrt{15}}{6}
=\frac{12\sqrt{15}}{6}
=2\sqrt{15}
$