-2/6d-1/4d=-22

Solution for -2/6d-1/4d=-22 equation:

-2/6d-1/4d=-22

We move all terms to the left:

-2/6d-1/4d-(-22)=0


Domain of the equation: 6d!=0

d!=0/6

d!=0

d∈R



Domain of the equation: 4d!=0

d!=0/4

d!=0

d∈R


We add all the numbers together, and all the variables

-2/6d-1/4d+22=0

We calculate fractions


(-8d)/24d^2+(-6d)/24d^2+22=0

We multiply all the terms by the denominator


(-8d)+(-6d)+22*24d^2=0

Wy multiply elements

528d^2+(-8d)+(-6d)=0

We get rid of parentheses

528d^2-8d-6d=0

We add all the numbers together, and all the variables

528d^2-14d=0

a = 528; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·528·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*528}=\frac{0}{1056}
=0
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*528}=\frac{28}{1056}
=7/264
$