3y/5y=-6X

Solution for 3y/5y=-6X equation:

3y/5y=-6y

We move all terms to the left:

3y/5y-(-6y)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We get rid of parentheses

3y/5y+6y=0

We multiply all the terms by the denominator


3y+6y*5y=0

Wy multiply elements

30y^2+3y=0

a = 30; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·30·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*30}=\frac{-6}{60}
=-1/10
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*30}=\frac{0}{60}
=0
$