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-2/3d-1/4d=-22=d
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!=0We add all the numbers together, and all the variables
d!=0/4
d!=0
d∈R
-2/3d-1/4d+22=0
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 $
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