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    Work: Find the solution of equation a*145%*115%*140%*110%*300/(300+406-100)+a*289%*110%*300/(300+406-100) = 64720 .
    Question type: Equation
    Solution:Original question:

a

×

145 100

×

115 100

×

140 100

×

110 100

×

300

÷

(

300

+

406

−

100

)

+

a

×

289 100

×

110 100

×

300

÷

(

300

+

406

−

100

)

=

64720

Multiply both sides of the equation by:

(

300

+

406

−

100

)

a

×

145 100

×

115 100

×

140 100

×

110 100

×

300

+

a

×

289 100

×

110 100

×

300

÷

(

300

+

406

−

100

)

×

(

300

+

406

−

100

)

=

64720

(

300

+

406

−

100

)

    Remove a bracket on the left of the equation:：

a

×

145 100

×

115 100

×

140 100

×

110 100

×

300

+

a

×

289 100

×

110 100

×

300

÷

(

300

+

406

−

100

)

×

300

=

64720

(

300

+

406

−

100

)

    Remove a bracket on the right of the equation:：

a

×

145 100

×

115 100

×

140 100

×

110 100

×

300

+

a

×

289 100

×

110 100

×

300

÷

(

300

+

406

−

100

)

×

300

=

64720

×

300

+

64720

×

406

−

64720

×

100

    The equation is reduced to :

a

×

154077 200

+

a

×

286110

÷

(

300

+

406

−

100

)

+

a

×

1936011 5

÷

(

300

+

406

−

100

)

−

a

×

95370

÷

(

300

+

406

−

100

)

=

19416000

+

26276320

−

6472000

    The equation is reduced to :

154077 200

a

+

a

×

286110

÷

(

300

+

406

−

100

)

+

a

×

1936011 5

÷

(

300

+

406

−

100

)

−

a

×

95370

÷

(

300

+

406

−

100

)

=

39220320

Multiply both sides of the equation by:

(

300

+

406

−

100

)

154077 200

a

(

300

+

406

−

100

)

+

a

×

286110

+

a

×

1936011 5

÷

(

300

+

406

−

100

)

×

(

300

+

406

−

100

)

−

a

×

95370

÷

(

300

+

406

−

100

)

=

39220320

(

300

+

406

−

100

)

    Remove a bracket on the left of the equation:

154077 200

a

×

300

+

154077 200

a

×

406

−

154077 200

a

×

100

+

a

×

286110

+

a

=

39220320

(

300

+

406

−

100

)

    Remove a bracket on the right of the equation:：

154077 200

a

×

300

+

154077 200

a

×

406

−

154077 200

a

×

100

+

a

×

286110

+

a

=

39220320

×

300

+

39220320

×

406

−

39220320

×

100

    
        a≈22748.483978 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》

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