What is the answer to x/(x-2)-(3x-8)/(x^2-5x+6)=0 ?

The answer to x/(x-2)-(3x-8)/(x^2-5x+6)=0 is x=4

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x/(x-2)-(3x-8)/(x^2-5x+6)=0

\frac{x}{x - 2} - \frac{3 x - 8}{x ^{2} - 5 x + 6} = 0

x = 4

Solution steps

\frac{x}{x - 2} - \frac{3 x - 8}{x ^{2} - 5 x + 6} = 0

Multiply by LCM

x (x - 3) - (3 x - 8) = 0

Solve

x (x - 3) - (3 x - 8) = 0 : x = 4, x = 2

x = 4, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 3

Since the equation is undefined for:

2

x = 4

6 - x = \frac{8}{x}

\frac{3}{x + 1} = \frac{9}{x ^{2} - 3 x - 4}

\frac{r}{6} + \frac{r - 1}{r} = \frac{7}{6}

\frac{2 x}{x - 5} = \frac{2}{3}

\frac{x - 2}{3 x} + \frac{1}{2} = 1

What is the answer to x/(x-2)-(3x-8)/(x^2-5x+6)=0 ?
The answer to x/(x-2)-(3x-8)/(x^2-5x+6)=0 is x=4
Solve for x: x/(x-2)-(3x-8)/(x^2-5x+6)=0
The solution is x=4