Mathematics
         
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Solution inequality:
    Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
    It supports mathematical functions (including trigonometric functions).
    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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