-3/4y-1/5y=380

Solution for -3/4y-1/5y=380 equation:

-3/4y-1/5y=380

We move all terms to the left:

-3/4y-1/5y-(380)=0


Domain of the equation: 4y!=0

y!=0/4

y!=0

y∈R



Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We calculate fractions


(-15y)/20y^2+(-4y)/20y^2-380=0

We multiply all the terms by the denominator


(-15y)+(-4y)-380*20y^2=0

Wy multiply elements

-7600y^2+(-15y)+(-4y)=0

We get rid of parentheses

-7600y^2-15y-4y=0

We add all the numbers together, and all the variables

-7600y^2-19y=0

a = -7600; b = -19; c = 0;
Δ = b2-4ac
Δ = -192-4·(-7600)·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-19}{2*-7600}=\frac{0}{-15200}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+19}{2*-7600}=\frac{38}{-15200}
=-1/400
$