What is the answer to 1.87=((1-2p)^2)/(((1+p)*(2p)^2)) ?

The answer to 1.87=((1-2p)^2)/(((1+p)*(2p)^2)) is p\approx 0.20015…

Solve for p: 1.87=((1-2p)^2)/(((1+p)*(2p)^2))

The solution is p\approx 0.20015…

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1.87 = \frac{( 1 - 2 p ) ^{2}}{( ( 1 + p ) \cdot ( 2 p ) ^{2} )}

p \approx 0.20015 \dots

Solution steps

1.87 = \frac{( 1 - 2 p ) ^{2}}{( ( 1 + p ) ( 2 p ) ^{2} )}

Simplify

\frac{( 1 - 2 p ) ^{2}}{( 1 + p ) ( 2 p ) ^{2}} : \frac{( 1 - 2 p ) ^{2}}{4 p ^{2} ( 1 + p )}

1.87 = \frac{( 1 - 2 p ) ^{2}}{4 p ^{2} ( 1 + p )}

Multiply both sides by

4 p^{2} (1 + p)

7.48 p^{2} (1 + p) = (1 - 2 p)^{2}

Solve

7.48 p^{2} (1 + p) = (1 - 2 p)^{2} : p \approx 0.20015 \dots

p \approx 0.20015 \dots

Verify Solutions

Find undefined (singularity) points:

p = 0, p = - 1

Combine undefined points with solutions:

p \approx 0.20015 \dots

\frac{1}{3 + x} = \frac{5 + x}{6}

ln (9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

\frac{y - 1}{3 y} = 4

x, a = \frac{( 2 x + f )}{( x - 2 f )}

n = \frac{18 - 15}{( 8 - 5 ) \cdot x ^{3} + 7}

What is the answer to 1.87=((1-2p)^2)/(((1+p)*(2p)^2)) ?
The answer to 1.87=((1-2p)^2)/(((1+p)*(2p)^2)) is p\approx 0.20015…
Solve for p: 1.87=((1-2p)^2)/(((1+p)*(2p)^2))
The solution is p\approx 0.20015…