SOLUTION: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3) eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful...

SOLUTION: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3) eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equ

Question 778262: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3)
eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equations)''
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Simplest common denominator is x(x-3). Multiply the left and right sides of the equation by and simplify. Finally, solve for x. You must be sure to recognize the restrictions that and .
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3)
eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equations)'

Note that: , or , as any of these values will result in an UNDEFINED expression.

4x(x - 2) + 3(x - 3) = - 3 ------- Multiplying by LCD, x(x - 3)

4x(x - 2) + 3(x - 2) = 0

(4x + 3)(x - 2) = 0

4x + 3 = 0_________OR___________x - 2 = 0

4x = - 3___________OR___________x = 0 + 2

_____OR_______

You can do the check!!

Further help is available, online or in-person, for a fee, obviously. Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com
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