-2/3d-1/4d=-222

Solution for -2/3d-1/4d=-222 equation:

-2/3d-1/4d=-222

We move all terms to the left:

-2/3d-1/4d-(-222)=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 add all the numbers together, and all the variables

-2/3d-1/4d+222=0

We calculate fractions


(-8d)/12d^2+(-3d)/12d^2+222=0

We multiply all the terms by the denominator


(-8d)+(-3d)+222*12d^2=0

Wy multiply elements

2664d^2+(-8d)+(-3d)=0

We get rid of parentheses

2664d^2-8d-3d=0

We add all the numbers together, and all the variables

2664d^2-11d=0

a = 2664; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·2664·0
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*2664}=\frac{0}{5328}
=0
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*2664}=\frac{22}{5328}
=11/2664
$