Y/x-180=-2x+360

Solution for Y/x-180=-2x+360 equation:

/Y-180=-2Y+360

We move all terms to the left:

/Y-180-(-2Y+360)=0


Domain of the equation: Y!=0

Y∈R


We get rid of parentheses

/Y+2Y-360-180=0

We multiply all the terms by the denominator


2Y*Y-360*Y-180*Y+=0

We add all the numbers together, and all the variables

-540Y+2Y*Y=0

Wy multiply elements

2Y^2-540Y=0

a = 2; b = -540; c = 0;
Δ = b2-4ac
Δ = -5402-4·2·0
Δ = 291600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{291600}=540$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-540)-540}{2*2}=\frac{0}{4}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-540)+540}{2*2}=\frac{1080}{4}
=270
$