What is the answer to 77200=(200000)/(2(1+x)) ?

The answer to 77200=(200000)/(2(1+x)) is x= 57/193

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77200=(200000)/(2(1+x))

77200 = \frac{200000}{2 ( 1 + x )}

x = \frac{57}{193}

Decimal Notation

x = 0.29533 \dots

Solution steps

77200 = \frac{200000}{2 ( 1 + x )}

Simplify

\frac{200000}{2 ( 1 + x )} : \frac{100000}{1 + x}

77200 = \frac{100000}{1 + x}

Multiply both sides by

1 + x

77200 (1 + x) = 100000

Divide both sides by

77200

1 + x = \frac{250}{193}

Move

1

to the right side

x = \frac{57}{193}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{57}{193}

\frac{6}{2 x} = 9

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

\frac{- 3}{x - 3} + \frac{2}{x + 7} = 1

x = \frac{y}{y + 4}, y

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

What is the answer to 77200=(200000)/(2(1+x)) ?
The answer to 77200=(200000)/(2(1+x)) is x= 57/193
Solve for x: 77200=(200000)/(2(1+x))
The solution is x= 57/193