What is the answer to (12)/x-(22)/(x-4)+4=0 ?

The answer to (12)/x-(22)/(x-4)+4=0 is x=8,x=-3/2

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(12)/x-(22)/(x-4)+4=0

\frac{12}{x} - \frac{22}{x - 4} + 4 = 0

x = 8, x = - \frac{3}{2}

Decimal Notation

x = 8, x = - 1.5

Solution steps

\frac{12}{x} - \frac{22}{x - 4} + 4 = 0

Multiply by LCM

12 (x - 4) - 22 x + 4 x (x - 4) = 0

Solve

12 (x - 4) - 22 x + 4 x (x - 4) = 0 : x = 8, x = - \frac{3}{2}

x = 8, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = 8, x = - \frac{3}{2}

\frac{3}{3 x + 2} = \frac{6}{5 x}

x - \frac{x + 5}{x + 6} = \frac{1}{x + 6}

- \frac{6}{x + 2} - 2 = - \frac{x}{x + 2}

x + \frac{5}{x} = 6

5 + \frac{7}{x + 7} = - \frac{x}{x + 7}

What is the answer to (12)/x-(22)/(x-4)+4=0 ?
The answer to (12)/x-(22)/(x-4)+4=0 is x=8,x=-3/2
Solve for x: (12)/x-(22)/(x-4)+4=0
The solution is x=8,x=-3/2