1/4a-1/3a=93

Solution for 1/4a-1/3a=93 equation:

1/4a-1/3a=93

We move all terms to the left:

1/4a-1/3a-(93)=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 calculate fractions


3a/12a^2+(-4a)/12a^2-93=0

We multiply all the terms by the denominator


3a+(-4a)-93*12a^2=0

Wy multiply elements

-1116a^2+3a+(-4a)=0

We get rid of parentheses

-1116a^2+3a-4a=0

We add all the numbers together, and all the variables

-1116a^2-1a=0

a = -1116; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-1116)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-1116}=\frac{0}{-2232}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-1116}=\frac{2}{-2232}
=-1/1116
$