What is the answer to 6/(5p-3)=-5/(2p-5) ?

The answer to 6/(5p-3)=-5/(2p-5) is p= 45/37

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6/(5p-3)=-5/(2p-5)

\frac{6}{5 p - 3} = - \frac{5}{2 p - 5}

p = \frac{45}{37}

Solution steps

\frac{6}{5 p - 3} = - \frac{5}{2 p - 5}

Cross multiply

12 p - 30 = - 25 p + 15

Move

30

to the right side

12 p = - 25 p + 45

Move

25 p

to the left side

37 p = 45

Divide both sides by

37

p = \frac{45}{37}

Verify Solutions

Find undefined (singularity) points:

p = \frac{3}{5}, p = \frac{5}{2}

Combine undefined points with solutions:

p = \frac{45}{37}

\frac{6}{x} = \frac{2}{26}

12 x^{- 2} - 16 x^{- 1} + 5 = 0

9 + \frac{2}{v - 1} = - \frac{4}{v - 2}

\frac{x}{( 1 - x )} = 2.5

24 = \frac{6}{x ^{4}} \cdot x^{2}

What is the answer to 6/(5p-3)=-5/(2p-5) ?
The answer to 6/(5p-3)=-5/(2p-5) is p= 45/37
Solve for p: 6/(5p-3)=-5/(2p-5)
The solution is p= 45/37