SOLUTION: This operation is tough for me, I think I may know but it would help out greatly if I was shown how it works. Thank you {{{3((1/(5x)) -(2/(5x))) + 6 = (1/6)(3x-2)}}} Also if

Question 541888: This operation is tough for me, I think I may know but it would help out greatly if I was shown how it works. Thank you

Also if you could show how it is checked
Thanks again.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

multiply everything by the common denom (5x*6)
do cancelations

subtract 180x
add 18

quadratic formula

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=35020 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 12.5712104651075, 0.0954562015591658. Here's your graph:

x=12.5712 , 0.0954

correct
you would do same with other x value to check

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