-4/5y-1/6y=870

Solution for -4/5y-1/6y=870 equation:

-4/5y-1/6y=870

We move all terms to the left:

-4/5y-1/6y-(870)=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^2-870=0

We multiply all the terms by the denominator


(-24y)+(-5y)-870*30y^2=0

Wy multiply elements

-26100y^2+(-24y)+(-5y)=0

We get rid of parentheses

-26100y^2-24y-5y=0

We add all the numbers together, and all the variables

-26100y^2-29y=0

a = -26100; b = -29; c = 0;
Δ = b2-4ac
Δ = -292-4·(-26100)·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*-26100}=\frac{0}{-52200}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+29}{2*-26100}=\frac{58}{-52200}
=-1/900
$