What is the answer to solvefor p,4+2p=10(3/(5p-2)) ?

The answer to solvefor p,4+2p=10(3/(5p-2)) is p=(-4+sqrt(111))/5 ,p=-(4+sqrt(111))/5

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Solve for p 4+2p=10(3/5p-2)

solve for

p, 4 + 2 p = 10 (\frac{3}{5 p - 2})

p = \frac{- 4 + 111}{5}, p = - \frac{4 + 111}{5}

Decimal Notation

p = 1.30713 \dots, p = - 2.90713 \dots

Solution steps

4 + 2 p = 10 (\frac{3}{5 p - 2})

Simplify

10 (\frac{3}{5 p - 2}) : \frac{30}{5 p - 2}

4 + 2 p = \frac{30}{5 p - 2}

Multiply both sides by

5 p - 2

4 (5 p - 2) + 2 p (5 p - 2) = 30

Solve

4 (5 p - 2) + 2 p (5 p - 2) = 30 : p = \frac{- 4 + 111}{5}, p = - \frac{4 + 111}{5}

p = \frac{- 4 + 111}{5}, p = - \frac{4 + 111}{5}

Verify Solutions

Find undefined (singularity) points:

p = \frac{2}{5}

Combine undefined points with solutions:

p = \frac{- 4 + 111}{5}, p = - \frac{4 + 111}{5}

100 x^{2}

x^{2} + 13 x + 36 = 0

t, 16 - 2 t = t + 9 + 4 t

120/60

5 x = 5

What is the answer to solvefor p,4+2p=10(3/(5p-2)) ?
The answer to solvefor p,4+2p=10(3/(5p-2)) is p=(-4+sqrt(111))/5 ,p=-(4+sqrt(111))/5