SOLUTION: My problem is 5 over 6x minus 8 over 2x = x over 4 I know that you find the common denominator of 12x and multiply everything by it, I come up with the answer 10-48=3x^2; and I

Question 77022: My problem is 5 over 6x minus 8 over 2x = x over 4
I know that you find the common denominator of 12x and multiply everything by it, I come up with the answer 10-48=3x^2; and I can't get any farther. I know there is more that I need to do, please help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you're trying to solve for x then:

Combine like terms
Add 38 to both sides
Now use the quadratic formula to solve for x

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 : .

The discriminant -456 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -456 is + or - .

The solution is

Here's your graph:

So this means that there are no real solutions for x. Notice how the graph doesn't intersect with the x-axis.
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