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5/8a+6=3/3a
We move all terms to the left:
5/8a+6-(3/3a)=0
Domain of the equation: 8a!=0
a!=0/8
a!=0
a∈R
Domain of the equation: 3a)!=0We add all the numbers together, and all the variables
a!=0/1
a!=0
a∈R
5/8a-(+3/3a)+6=0
We get rid of parentheses
5/8a-3/3a+6=0
We calculate fractions
15a/24a^2+(-24a)/24a^2+6=0
We multiply all the terms by the denominator
15a+(-24a)+6*24a^2=0
Wy multiply elements
144a^2+15a+(-24a)=0
We get rid of parentheses
144a^2+15a-24a=0
We add all the numbers together, and all the variables
144a^2-9a=0
a = 144; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·144·0
Δ = 81
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{81}=9$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*144}=\frac{0}{288} =0 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*144}=\frac{18}{288} =1/16 $
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