What is the answer to 0.871= x/((0.05-x)) ?

The answer to 0.871= x/((0.05-x)) is x=0.02327…

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0.871= x/((0.05-x))

0.871 = \frac{x}{( 0.05 - x )}

x = 0.02327 \dots

Solution steps

0.871 = \frac{x}{( 0.05 - x )}

Simplify

\frac{x}{( 0.05 - x )} : \frac{x}{0.05 - x}

0.871 = \frac{x}{0.05 - x}

Multiply both sides by

0.05 - x

0.871 (0.05 - x) = x

Expand

0.871 (0.05 - x) : 0.04355 - 0.871 x

0.04355 - 0.871 x = x

Move

0.04355

to the right side

- 0.871 x = x - 0.04355

Move

x

to the left side

- 1.871 x = - 0.04355

Divide both sides by

- 1.871

x = 0.02327 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0.05

Combine undefined points with solutions:

x = 0.02327 \dots

x + 1 + \frac{1}{x} = 0

1.22 = \frac{( 25 )}{t \cdot 0.42}

2 = \frac{4}{x}

y, x = \frac{y - 5}{y + 4}

3 = - \frac{2}{v + 8}

What is the answer to 0.871= x/((0.05-x)) ?
The answer to 0.871= x/((0.05-x)) is x=0.02327…
Solve for x: 0.871= x/((0.05-x))
The solution is x=0.02327…