-4/5y-1/6y=841

Solution for -4/5y-1/6y=841 equation:

-4/5y-1/6y=841

We move all terms to the left:

-4/5y-1/6y-(841)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R



Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R


We calculate fractions


(-24y)/30y^2+(-5y)/30y^2-841=0

We multiply all the terms by the denominator


(-24y)+(-5y)-841*30y^2=0

Wy multiply elements

-25230y^2+(-24y)+(-5y)=0

We get rid of parentheses

-25230y^2-24y-5y=0

We add all the numbers together, and all the variables

-25230y^2-29y=0

a = -25230; b = -29; c = 0;
Δ = b2-4ac
Δ = -292-4·(-25230)·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-29}{2*-25230}=\frac{0}{-50460}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+29}{2*-25230}=\frac{58}{-50460}
=-1/870
$