Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 (x+60-277.5)÷(277.5+60) = (x+60-285.5)/285.5 .
    Question type: Equation
    Solution:Original question:
     ( x + 60 −
555
2
) ÷ (
555
2
 + 60) = ( x + 60 −
571
2
) ÷
571
2
     Multiply both sides of the equation by:(
555
2
 + 60)
     ( x + 60 −
555
2
) = ( x + 60 −
571
2
) ÷
571
2
 × (
555
2
 + 60)
    Remove a bracket on the left of the equation:：
      x + 60 −
555
2
 = ( x + 60 −
571
2
) ÷
571
2
 × (
555
2
 + 60)
    Remove a bracket on the right of the equation:：
      x + 60 −
555
2
 = x ÷
571
2
 × (
555
2
 + 60) + 60 ÷
571
2
 × (
555
2
 + 60) −
571
2
 ÷
571
2
 × (
555
2
 + 60)
    The equation is reduced to :
      x + 60 −
555
2
 = x ×
2
571
(
555
2
 + 60) +
120
571
(
555
2
 + 60) − 1(
555
2
 + 60)
    The equation is reduced to :
      x −
435
2
 = x ×
2
571
(
555
2
 + 60) +
120
571
(
555
2
 + 60) − 1(
555
2
 + 60)
    Remove a bracket on the right of the equation:：
      x −
435
2
 = x ×
2
571
 ×
555
2
 + x ×
2
571
 × 60 +
120
571
(
555
2
 + 60) − 1(
555
2
 + 60)
    The equation is reduced to :
      x −
435
2
 = x ×
555
571
 + x ×
120
571
 +
120
571
(
555
2
 + 60) − 1(
555
2
 + 60)
    The equation is reduced to :
      x −
435
2
 =
675
571
 x +
120
571
(
555
2
 + 60) − 1(
555
2
 + 60)
    Remove a bracket on the right of the equation:：
      x −
435
2
 =
675
571
 x +
120
571
 ×
555
2
 +
120
571
 × 60 − 1(
555
2
 + 60)
    The equation is reduced to :
      x −
435
2
 =
675
571
 x +
33300
571
 +
7200
571
 − 1(
555
2
 + 60)
    The equation is reduced to :
      x −
435
2
 =
675
571
 x +
40500
571
 − 1(
555
2
 + 60)
    Remove a bracket on the right of the equation:：
      x −
435
2
 =
675
571
 x +
40500
571
 − 1 ×
555
2
 − 1 × 60
    The equation is reduced to :
      x −
435
2
 =
675
571
 x +
40500
571
 −
555
2
 − 60
    The equation is reduced to :
      x −
435
2
 =
675
571
 x −
304425
1142

    Transposition :
      x −
675
571
 x = -
304425
1142
 +
435
2

    Combine the items on the left of the equation:
      -
104
571
 x = -
304425
1142
 +
435
2

    Combine the items on the right of the equation:
      -
104
571
 x = -
28020
571

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
28020
571
 =
104
571
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
104
571
 x =
28020
571

    The coefficient of the unknown number is reduced to 1 :
      x =
28020
571
 ÷
104
571
        =
28020
571
 ×
571
104
        =
7005
571
 ×
571
26

    We obtained :
      x =
3999855
14846
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 269.423077



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。