SOLUTION: Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state that on your paper. Use the clearing fractions from the equation first.

Question 1103419: Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state that on your paper. Use the clearing fractions from the equation first.
x/x-4 - 4/3x^2-17x+20 = 2x/3x-5
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Factor the 2nd denominator

multiply by(x-4)(3x-5), cancel the denominators
x(3x-5) - 4 = 2x(x-4)
Distribute
3x^2 - 5x - 4 = 2x^2 - 8x
Combine like terms on the left
3x^2 - 2x^2 - 5x + 8x - 4 = 0
x^2 + 3x - 4 = 0
Factors to
(x+4)(x-1) = 0
Two solutions
x = -4
x = 1
:
Check both values of x ensure they are true and don't result in 0 in the dnominators

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