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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/312.2-1/(80-x) = 1/88-1/(390-x) .
    Question type: Equation
    Solution:Original question:
     1 ÷
1561
5
1 ÷ (80 x ) = 1 ÷ 881 ÷ (390 x )
     Multiply both sides of the equation by:(80 x ) ,  (390 x )
     1 ÷
1561
5
× (80 x )(390 x )1(390 x ) = 1 ÷ 88 × (80 x )(390 x )1(80 x )
    Remove a bracket on the left of the equation::
     1 ÷
1561
5
× 80(390 x )1 ÷
1561
5
× x (390 x )1(390 x ) = 1 ÷ 88 × (80 x )(390 x )1(80 x )
    Remove a bracket on the right of the equation::
     1 ÷
1561
5
× 80(390 x )1 ÷
1561
5
× x (390 x )1(390 x ) = 1 ÷ 88 × 80(390 x )1 ÷ 88 × x (390 x )1(80 x )
    The equation is reduced to :
     
400
1561
(390 x )
5
1561
x (390 x )1(390 x ) =
10
11
(390 x )
1
88
x (390 x )1(80 x )
    Remove a bracket on the left of the equation:
     
400
1561
× 390
400
1561
x
5
1561
x (390 x )1(390 x ) =
10
11
(390 x )
1
88
x (390 x )1(80 x )
    Remove a bracket on the right of the equation::
     
400
1561
× 390
400
1561
x
5
1561
x (390 x )1(390 x ) =
10
11
× 390
10
11
x
1
88
x (390 x )1(80 x )
    The equation is reduced to :
     
156000
1561
400
1561
x
5
1561
x (390 x )1(390 x ) =
3900
11
10
11
x
1
88
x (390 x )1(80 x )
    Remove a bracket on the left of the equation:
     
156000
1561
400
1561
x
5
1561
x × 390 +
5
1561
x x 1(390 x ) =
3900
11
10
11
x
1
88
x (390 x )1(80 x )
    Remove a bracket on the right of the equation::
     
156000
1561
400
1561
x
5
1561
x × 390 +
5
1561
x x 1(390 x ) =
3900
11
10
11
x
1
88
x × 390 +
1
88
x x 1(80 x )
    The equation is reduced to :
     
156000
1561
400
1561
x
1950
1561
x +
5
1561
x x 1(390 x ) =
3900
11
10
11
x
195
44
x +
1
88
x x 1(80 x )
    The equation is reduced to :
     
156000
1561
2350
1561
x +
5
1561
x x 1(390 x ) =
3900
11
235
44
x +
1
88
x x 1(80 x )
    Remove a bracket on the left of the equation:
     
156000
1561
2350
1561
x +
5
1561
x x 1 × 390 + 1 x =
3900
11
235
44
x +
1
88
x x 1(80 x )
    Remove a bracket on the right of the equation::
     
156000
1561
2350
1561
x +
5
1561
x x 1 × 390 + 1 x =
3900
11
235
44
x +
1
88
x x 1 × 80 + 1 x
    The equation is reduced to :
     
156000
1561
2350
1561
x +
5
1561
x x 390 + 1 x =
3900
11
235
44
x +
1
88
x x 80 + 1 x
    The equation is reduced to :
      -
452790
1561
789
1561
x +
5
1561
x x =
3020
11
191
44
x +
1
88
x x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》




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