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    Work: Find the solution of equation 0.3 = (x*4000/270*40/100*270/192)/(1-x*4000/270*40/100*270/192) .
    Question type: Equation
    Solution:Original question:

3 10

=

(

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

÷

(

1

−

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

Multiply both sides of the equation by:

(

1

−

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

3 10

(

1

−

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

=

(

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

    Remove a bracket on the left of the equation:：

3 10

×

1

−

3 10

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

=

(

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

)

    Remove a bracket on the right of the equation:：

3 10

×

1

−

3 10

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

=

x

×

4000

÷

270

×

40

÷

100

×

270

÷

192

    The equation is reduced to :

3 10

−

5 2

x

=

x

×

25 3

    Transposition :

-

5 2

x

−

25 3

x

=

-

3 10

    Combine the items on the left of the equation:

-

65 6

x

=

-

3 10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

3 10

=

65 6

x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :

65 6

x

=

3 10

    The coefficient of the unknown number is reduced to 1 :

x

=

3 10

÷

65 6

=

3 10

×

6 65

=

3 5

×

3 65

    We obtained :

x

=

9 325

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

0.027692

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