-2/3d-1/4d=22

Solution for -2/3d-1/4d=22 equation:

-2/3d-1/4d=22

We move all terms to the left:

-2/3d-1/4d-(22)=0


Domain of the equation: 3d!=0

d!=0/3

d!=0

d∈R



Domain of the equation: 4d!=0

d!=0/4

d!=0

d∈R


We calculate fractions


(-8d)/12d^2+(-3d)/12d^2-22=0

We multiply all the terms by the denominator


(-8d)+(-3d)-22*12d^2=0

Wy multiply elements

-264d^2+(-8d)+(-3d)=0

We get rid of parentheses

-264d^2-8d-3d=0

We add all the numbers together, and all the variables

-264d^2-11d=0

a = -264; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·(-264)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*-264}=\frac{0}{-528}
=0
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*-264}=\frac{22}{-528}
=-1/24
$