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    Work: Find the solution of equation X-[(X÷1.06)*0.06+(X÷1.06)*0.06*0.12+（X÷1.06）*0.001] = 405064.54 .
    Question type: Equation
    Solution:Original question:

X

−

(

(

X

÷

53 50

)

×

3 50

+

(

X

÷

53 50

)

×

3 50

×

3 25

+

(

X

÷

53 50

)

×

1 1000

)

=

20253227 50

    Remove the bracket on the left of the equation:

Left side of the equation =

X

−

(

X

÷

53 50

)

×

3 50

−

(

X

÷

53 50

)

×

3 50

×

3 25

−

(

X

÷

53 50

)

×

1 1000

=

X

−

(

X

÷

53 50

)

×

3 50

−

(

X

÷

53 50

)

×

9 1250

−

(

X

÷

53 50

)

×

1 1000

=

X

−

X

÷

53 50

×

3 50

−

(

X

÷

53 50

)

×

9 1250

−

(

X

÷

53 50

)

×

1 1000

=

X

−

X

×

3 53

−

(

X

÷

53 50

)

×

9 1250

−

(

X

÷

53 50

)

×

1 1000

=

50 53

X

−

(

X

÷

53 50

)

×

9 1250

−

(

X

÷

53 50

)

×

1 1000

=

50 53

X

−

X

÷

53 50

×

9 1250

−

(

X

÷

53 50

)

×

1 1000

=

50 53

X

−

X

×

9 1325

−

(

X

÷

53 50

)

×

1 1000

=

1241 1325

X

−

(

X

÷

53 50

)

×

1 1000

=

1241 1325

X

−

X

÷

53 50

×

1 1000

=

1241 1325

X

−

X

×

1 1060

=

4959 5300

X

    The equation is transformed into :

4959 5300

X

=

20253227 50

    The coefficient of the unknown number is reduced to 1 :

X

=

20253227 50

÷

4959 5300

=

20253227 50

×

5300 4959

=

20253227

×

106 4959

    We obtained :

X

=

2146842062 4959

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

432918.342811

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