1/4a-1/3a=1/2+0

Solution for 1/4a-1/3a=1/2+0 equation:

1/4a-1/3a=1/2+0

We move all terms to the left:

1/4a-1/3a-(1/2+0)=0


Domain of the equation: 4a!=0

a!=0/4

a!=0

a∈R



Domain of the equation: 3a!=0

a!=0/3

a!=0

a∈R


We add all the numbers together, and all the variables

1/4a-1/3a-(+1/2)=0

We get rid of parentheses

1/4a-1/3a-1/2=0

We calculate fractions


(-36a^2)/48a^2+12a/48a^2+(-16a)/48a^2=0

We multiply all the terms by the denominator


(-36a^2)+12a+(-16a)=0

We get rid of parentheses

-36a^2+12a-16a=0

We add all the numbers together, and all the variables

-36a^2-4a=0

a = -36; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·(-36)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*-36}=\frac{0}{-72}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*-36}=\frac{8}{-72}
=-1/9
$