What is the answer to 6/x-(28)/(x-3)+4=0 ?

The answer to 6/x-(28)/(x-3)+4=0 is x=9,x=-1/2

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6/x-(28)/(x-3)+4=0

\frac{6}{x} - \frac{28}{x - 3} + 4 = 0

x = 9, x = - \frac{1}{2}

Decimal Notation

x = 9, x = - 0.5

Solution steps

\frac{6}{x} - \frac{28}{x - 3} + 4 = 0

Multiply by LCM

6 (x - 3) - 28 x + 4 x (x - 3) = 0

Solve

6 (x - 3) - 28 x + 4 x (x - 3) = 0 : x = 9, x = - \frac{1}{2}

x = 9, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = 9, x = - \frac{1}{2}

\frac{1}{4 ( x - 2 ) + 4} = 12

\frac{7}{2 x - 8} = \frac{3}{x - 6}

\frac{h - 4}{j} = k

\frac{2 x - 6}{8 - x} = - \frac{3}{4}

\frac{3}{2 + t} = \frac{1}{2}

What is the answer to 6/x-(28)/(x-3)+4=0 ?
The answer to 6/x-(28)/(x-3)+4=0 is x=9,x=-1/2
Solve for x: 6/x-(28)/(x-3)+4=0
The solution is x=9,x=-1/2