What is the answer to 0.1=1-(40)/x ?

The answer to 0.1=1-(40)/x is x= 400/9

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0.1=1-(40)/x

0.1 = 1 - \frac{40}{x}

x = \frac{400}{9}

Decimal Notation

x = 44.44444 \dots

Solution steps

0.1 = 1 - \frac{40}{x}

Move

1

to the left side

- 0.9 = - \frac{40}{x}

Multiply both sides by

x

- 0.9 x = - 40

Multiply both sides by

10

- 9 x = - 400

Divide both sides by

- 9

x = \frac{400}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{400}{9}

t, r = \frac{d}{t}

y, x = \frac{2 y - 3}{y + 1}

3 x^{- 2} = 27

12 x - 7 = \frac{12}{x}

\frac{z - 1}{z + 1} = \frac{2}{z + 4}