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    Work: Find the solution of equation 0.8*x/3*(10.8-x)/(9-x)*(12*x-x*x/1.2)-0.8x*(10.8-12*x+x*x/12)+1.2*(14.4-x)/(10.8-x)*(10.8-12*x+x*x/12)-x/3*(14.4-x)/(10.8-x)*(10.8-12*x+x*x/12) = 0 .
    Question type: Equation
    Solution:Original question:

4 5

x

÷

3

×

(

54 5

−

x

)

÷

(

9

−

x

)

×

(

12

x

−

x

x

÷

6 5

)

−

4 5

x

(

54 5

−

12

x

+

x

x

÷

12

)

+

6 5

(

72 5

−

x

)

÷

(

54 5

−

x

)

=

0

Multiply both sides of the equation by:

(

9

−

x

)

4 5

x

÷

3

×

(

54 5

−

x

)

(

12

x

−

x

x

÷

6 5

)

−

4 5

x

(

54 5

−

12

x

+

x

x

÷

12

)

(

9

−

x

)

+

6 5

(

72 5

−

x

)

÷

(

54 5

−

x

)

=

0

    Remove a bracket on the left of the equation:：

4 5

x

÷

3

×

54 5

(

12

x

−

x

x

÷

6 5

)

−

4 5

x

÷

3

×

x

(

12

x

−

x

x

÷

6 5

)

−

4 5

x

=

0

    The equation is reduced to :

72 25

x

(

12

x

−

x

x

÷

6 5

)

−

4 15

x

x

(

12

x

−

x

x

÷

6 5

)

−

4 5

x

(

54 5

−

12

x

+

x

x

÷

12

)

(

9

−

x

)

+

6 5

=

0

Multiply both sides of the equation by:

(

54 5

−

x

)

72 25

x

(

12

x

−

x

x

÷

6 5

)

(

54 5

−

x

)

−

4 15

x

x

(

12

x

−

x

x

÷

6 5

)

(

54 5

−

x

)

−

4 5

x

(

54 5

−

12

x

+

x

x

÷

12

)

=

0

    Remove a bracket on the left of the equation:

72 25

x

×

12

x

(

54 5

−

x

)

−

72 25

x

x

x

÷

6 5

×

(

54 5

−

x

)

−

4 15

=

0

    The equation is reduced to :

864 25

x

x

(

54 5

−

x

)

−

12 5

x

x

x

(

54 5

−

x

)

−

4 15

x

x

=

0

    Remove a bracket on the left of the equation:

864 25

x

x

×

54 5

−

864 25

x

x

x

−

12 5

x

x

x

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

12 5

x

x

x

(

54 5

−

x

)

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

12 5

x

x

x

×

54 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The equation is reduced to :

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    Remove a bracket on the left of the equation:

46656 125

x

x

−

864 25

x

x

x

−

648 25

x

x

x

+

12 5

=

0

    The solution of the equation:
        x₁≈9.134689 , keep 6 decimal places
        x₂≈11.588867 , keep 6 decimal places
        x₃≈52.245278 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》

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