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

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

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

We move all terms to the left:

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


Domain of the equation: 2y!=0

y!=0/2

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

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

We calculate fractions


4y/8y^2+2y/8y^2+6=0

We multiply all the terms by the denominator


4y+2y+6*8y^2=0

We add all the numbers together, and all the variables

6y+6*8y^2=0

Wy multiply elements

48y^2+6y=0

a = 48; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·48·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*48}=\frac{-12}{96}
=-1/8
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*48}=\frac{0}{96}
=0
$