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-1/6a+41/8+1/3a=425/48
We move all terms to the left:
-1/6a+41/8+1/3a-(425/48)=0
Domain of the equation: 6a!=0
a!=0/6
a!=0
a∈R
Domain of the equation: 3a!=0We add all the numbers together, and all the variables
a!=0/3
a!=0
a∈R
-1/6a+1/3a+41/8-(+425/48)=0
We get rid of parentheses
-1/6a+1/3a+41/8-425/48=0
We calculate fractions
(-183600a^2)/55296a^2+106272a^2/55296a^2+(-9216a)/55296a^2+18432a/55296a^2=0
We multiply all the terms by the denominator
(-183600a^2)+106272a^2+(-9216a)+18432a=0
We add all the numbers together, and all the variables
106272a^2+(-183600a^2)+18432a+(-9216a)=0
We get rid of parentheses
106272a^2-183600a^2+18432a-9216a=0
We add all the numbers together, and all the variables
-77328a^2+9216a=0
a = -77328; b = 9216; c = 0;
Δ = b2-4ac
Δ = 92162-4·(-77328)·0
Δ = 84934656
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{84934656}=9216$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9216)-9216}{2*-77328}=\frac{-18432}{-154656} =64/537 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9216)+9216}{2*-77328}=\frac{0}{-154656} =0 $
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