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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/x-0.72/(726-1.2x) = 1/(960-x)-(1/7)*1.2/(-330-1.2x) .
    Question type: Equation
    Solution:Original question:
     1 ÷ x −
18
25
 ÷ (726 −
6
5
 x ) = 1 ÷ (960 − x ) − (1 ÷ 7) ×
6
5
 ÷ ( - 330 −
6
5
 x )
     Multiply both sides of the equation by: x  ,  (960 − x )
     1(960 − x ) −
18
25
 ÷ (726 −
6
5
 x ) × x (960 − x ) = 1 x − (1 ÷ 7) ×
6
5
 ÷ ( - 330 −
6
5
 x ) × x (960 − x )
    Remove a bracket on the left of the equation:：
     1 × 960 − 1 x −
18
25
 ÷ (726 −
6
5
 x ) × x (960 − x ) = 1 x − (1 ÷ 7) ×
6
5
 ÷ ( - 330 −
6
5
 x ) × x (960 − x )
    Remove a bracket on the right of the equation:：
     1 × 960 − 1 x −
18
25
 ÷ (726 −
6
5
 x ) × x (960 − x ) = 1 x − 1 ÷ 7 ×
6
5
 ÷ ( - 330 −
6
5
 x ) × x (960 − x )
    The equation is reduced to :
     960 − 1 x −
18
25
 ÷ (726 −
6
5
 x ) × x (960 − x ) = 1 x −
6
35
 ÷ ( - 330 −
6
5
 x ) × x (960 − x )
     Multiply both sides of the equation by:(726 −
6
5
 x ) ,  ( - 330 −
6
5
 x )
     960(726 −
6
5
 x )( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 x (960 − x )( - 330 −
6
5
 x ) = 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
6
35
 x (960 − x )(726 −
6
5
 x )
    Remove a bracket on the left of the equation:
     960 × 726( - 330 −
6
5
 x ) − 960 ×
6
5
 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 = 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
6
35
 x (960 − x )(726 −
6
5
 x )
    Remove a bracket on the right of the equation:：
     960 × 726( - 330 −
6
5
 x ) − 960 ×
6
5
 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 = 1 x × 726( - 330 −
6
5
 x ) − 1 x ×
6
5
 x ( - 330 −
6
5
 x ) −
6
35
 x (960 − x )
    The equation is reduced to :
     696960( - 330 −
6
5
 x ) − 1152 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 x (960 − x ) = 726 x ( - 330 −
6
5
 x ) −
6
5
 x x ( - 330 −
6
5
 x ) −
6
35
 x (960 − x )(726 −
6
5
 x )
    Remove a bracket on the left of the equation:
      - 696960 × 330 − 696960 ×
6
5
 x − 1152 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) = 726 x ( - 330 −
6
5
 x ) −
6
5
 x x ( - 330 −
6
5
 x ) −
6
35
 x (960 − x )(726 −
6
5
 x )
    Remove a bracket on the right of the equation:：
      - 696960 × 330 − 696960 ×
6
5
 x − 1152 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) = - 726 x × 330 − 726 x ×
6
5
 x −
6
5
 x x ( - 330 −
6
5
 x ) −
6
35
    The equation is reduced to :
      - 229996800 − 836352 x − 1152 x ( - 330 −
6
5
 x ) − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 x = - 239580 x −
4356
5
 x x −
6
5
 x x ( - 330 −
6
5
 x ) −
6
35
 x (960 − x )
    Remove a bracket on the left of the equation:
      - 229996800 − 836352 x + 1152 x × 330 + 1152 x ×
6
5
 x − 1 x = - 239580 x −
4356
5
 x x −
6
5
 x x ( - 330 −
6
5
 x ) −
6
35
 x (960 − x )
    Remove a bracket on the right of the equation:：
      - 229996800 − 836352 x + 1152 x × 330 + 1152 x ×
6
5
 x − 1 x = - 239580 x −
4356
5
 x x +
6
5
 x x × 330 +
6
5
 x x
    The equation is reduced to :
      - 229996800 − 836352 x + 380160 x +
6912
5
 x x − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    The equation is reduced to :
      - 229996800 − 456192 x +
6912
5
 x x − 1 x (726 −
6
5
 x )( - 330 −
6
5
 x ) −
18
25
 x = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    Remove a bracket on the left of the equation:
      - 229996800 − 456192 x +
6912
5
 x x − 1 x × 726( - 330 −
6
5
 x ) + 1 x = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    Remove a bracket on the right of the equation:：
      - 229996800 − 456192 x +
6912
5
 x x − 1 x × 726( - 330 −
6
5
 x ) + 1 x = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    The equation is reduced to :
      - 229996800 − 456192 x +
6912
5
 x x − 726 x ( - 330 −
6
5
 x ) +
6
5
 x x = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    Remove a bracket on the left of the equation:
      - 229996800 − 456192 x +
6912
5
 x x + 726 x × 330 + 726 x ×
6
5
 = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    Remove a bracket on the right of the equation:：
      - 229996800 − 456192 x +
6912
5
 x x + 726 x × 330 + 726 x ×
6
5
 = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    The equation is reduced to :
      - 229996800 − 456192 x +
6912
5
 x x + 239580 x +
4356
5
 x x +
6
5
 = - 239580 x −
4356
5
 x x + 396 x x +
36
25
 x x x
    
    There are 0 solution(s).

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