What is the answer to (10)/x-(12)/(x-3)+4=0 ?

The answer to (10)/x-(12)/(x-3)+4=0 is x=5,x=-3/2

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(10)/x-(12)/(x-3)+4=0

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

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

Decimal Notation

x = 5, x = - 1.5

Solution steps

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

Multiply by LCM

10 (x - 3) - 12 x + 4 x (x - 3) = 0

Solve

10 (x - 3) - 12 x + 4 x (x - 3) = 0 : x = 5, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

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

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

\frac{2}{3 x} = \frac{1}{9}

\frac{x + 3}{2 x - 3} = \frac{x - 5}{x - 4}

\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}

\frac{2}{x} + \frac{5}{3} = \frac{7}{x}

What is the answer to (10)/x-(12)/(x-3)+4=0 ?
The answer to (10)/x-(12)/(x-3)+4=0 is x=5,x=-3/2
Solve for x: (10)/x-(12)/(x-3)+4=0
The solution is x=5,x=-3/2