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.

Algebra ->  Finance -> 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.       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x-4%29+-+4%2F%283x%5E2-17x%2B20%29+=+%282x%29%2F%283x-5%29
Factor the 2nd denominator
x%2F%28x-4%29+-+4%2F%28%283x-5%29%28x-4%29+%29=+%282x%29%2F%283x-5%29
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