1/6y+1/4y=-2

Solution for 1/6y+1/4y=-2 equation:

1/6y+1/4y=-2

We move all terms to the left:

1/6y+1/4y-(-2)=0


Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R



Domain of the equation: 4y!=0

y!=0/4

y!=0

y∈R


We add all the numbers together, and all the variables

1/6y+1/4y+2=0

We calculate fractions


4y/24y^2+6y/24y^2+2=0

We multiply all the terms by the denominator


4y+6y+2*24y^2=0

We add all the numbers together, and all the variables

10y+2*24y^2=0

Wy multiply elements

48y^2+10y=0

a = 48; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·48·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*48}=\frac{-20}{96}
=-5/24
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*48}=\frac{0}{96}
=0
$