SOLUTION: This problem is 8x squared minus 3 equals 10x or 8x^2-3=10x Then it says solve. Please help. Thank you. I feel like I should get everything on one side and set it to 0 but, from

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Question 601453: This problem is 8x squared minus 3 equals 10x or 8x^2-3=10x
Then it says solve. Please help. Thank you. I feel like I should get everything on one side and set it to 0 but, from there on I'm not sure what to do.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
This problem is 8x squared minus 3 equals 10x or 8x^2-3=10x
Then it says solve. Please help. Thank you. I feel like I should get everything on one side and set it to 0 but, from there on I'm not sure what to do.
------------
That is step 1.

Then you can factor it.
(2x - 3)*(4x + 1) = 0
-----
2x-3 = 0
x = 3/2
-----
4x+1 = 0
x = -1/4
==========
If it can't be factored, use the quadratic equation
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.5, -0.25. Here's your graph:
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