1/4y+1/6y=7/8

Solution for 1/4y+1/6y=7/8 equation:

1/4y+1/6y=7/8

We move all terms to the left:

1/4y+1/6y-(7/8)=0


Domain of the equation: 4y!=0

y!=0/4

y!=0

y∈R



Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R


We add all the numbers together, and all the variables

1/4y+1/6y-(+7/8)=0

We get rid of parentheses

1/4y+1/6y-7/8=0

We calculate fractions


(-1008y^2)/1536y^2+384y/1536y^2+256y/1536y^2=0

We multiply all the terms by the denominator


(-1008y^2)+384y+256y=0

We add all the numbers together, and all the variables

(-1008y^2)+640y=0

We get rid of parentheses

-1008y^2+640y=0

a = -1008; b = 640; c = 0;
Δ = b2-4ac
Δ = 6402-4·(-1008)·0
Δ = 409600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{409600}=640$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(640)-640}{2*-1008}=\frac{-1280}{-2016}
=40/63
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(640)+640}{2*-1008}=\frac{0}{-2016}
=0
$