What is the answer to 4/(p-3)-2/p =0 ?

The answer to 4/(p-3)-2/p =0 is p=-3

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4/(p-3)-2/p =0

\frac{4}{p - 3} - \frac{2}{p} = 0

p = - 3

Solution steps

\frac{4}{p - 3} - \frac{2}{p} = 0

Multiply by LCM

4 p - 2 (p - 3) = 0

Expand

- 2 (p - 3) : - 2 p + 6

4 p - 2 p + 6 = 0

Add similar elements:

4 p - 2 p = 2 p

2 p + 6 = 0

Move

6

to the right side

2 p = - 6

Divide both sides by

2

p = - 3

Verify Solutions

Find undefined (singularity) points:

p = 3, p = 0

Combine undefined points with solutions:

p = - 3

\frac{9}{x} = \frac{x}{9}

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

\frac{7}{2 x ^{2}} + 5 x = - 51

\frac{5 A - 3}{2 A + 1} = \frac{2}{7}

\frac{( 3 )}{( x )} = 6