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 （20.9+（x-500）/（1000-500）*（38.8-20.9）)*1*1*1.5 = 870-x .
    Question type: Equation
    Solution:Original question:
     (
209
10
 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
)) × 1 × 1 ×
3
2
 = 870 − x
    Remove a bracket on the left of the equation:：
     
209
10
 × 1 × 1 ×
3
2
 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
) × 1 × 1 ×
3
2
 = 870 − x
    The equation is reduced to :
     
627
20
 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
) ×
3
2
 = 870 − x
     Multiply both sides of the equation by:(1000 − 500)
     
627
20
(1000 − 500) + ( x − 500)(
194
5
 −
209
10
) ×
3
2
 = 870(1000 − 500) − x (1000 − 500)
    Remove a bracket on the left of the equation:
     
627
20
 × 1000 −
627
20
 × 500 + ( x − 500)(
194
5
 −
209
10
) ×
3
2
 = 870(1000 − 500) − x (1000 − 500)
    Remove a bracket on the right of the equation:：
     
627
20
 × 1000 −
627
20
 × 500 + ( x − 500)(
194
5
 −
209
10
) ×
3
2
 = 870 × 1000 − 870 × 500 − x (1000 − 500)
    The equation is reduced to :
     31350 − 15675 + ( x − 500)(
194
5
 −
209
10
) ×
3
2
 = 870000 − 435000 − x (1000 − 500)
    The equation is reduced to :
     15675 + ( x − 500)(
194
5
 −
209
10
) ×
3
2
 = 435000 − x (1000 − 500)
    Remove a bracket on the left of the equation:
     15675 + x (
194
5
 −
209
10
) ×
3
2
 − 500(
194
5
 −
209
10
) ×
3
2
 = 435000 − x (1000 − 500)
    Remove a bracket on the right of the equation:：
     15675 + x (
194
5
 −
209
10
) ×
3
2
 − 500(
194
5
 −
209
10
) ×
3
2
 = 435000 − x × 1000 + x × 500
    The equation is reduced to :
     15675 + x (
194
5
 −
209
10
) ×
3
2
 − 750(
194
5
 −
209
10
) = 435000 − x × 1000 + x × 500
    The equation is reduced to :
     15675 + x (
194
5
 −
209
10
) ×
3
2
 − 750(
194
5
 −
209
10
) = 435000 − 500 x
    Remove a bracket on the left of the equation:
     15675 + x ×
194
5
 ×
3
2
 − x ×
209
10
 ×
3
2
 − 750(
194
5
 −
209
10
) = 435000 − 500 x
    The equation is reduced to :
     15675 + x ×
291
5
 − x ×
627
20
 − 750(
194
5
 −
209
10
) = 435000 − 500 x
    The equation is reduced to :
     15675 +
537
20
 x − 750(
194
5
 −
209
10
) = 435000 − 500 x
    Remove a bracket on the left of the equation:
     15675 +
537
20
 x − 750 ×
194
5
 + 750 ×
209
10
 = 435000 − 500 x
    The equation is reduced to :
     15675 +
537
20
 x − 29100 + 15675 = 435000 − 500 x
    The equation is reduced to :
     2250 +
537
20
 x = 435000 − 500 x

    Transposition :
     
537
20
 x + 500 x = 435000 − 2250

    Combine the items on the left of the equation:
     
10537
20
 x = 435000 − 2250

    Combine the items on the right of the equation:
     
10537
20
 x = 432750

    The coefficient of the unknown number is reduced to 1 :
      x = 432750 ÷
10537
20
        = 432750 ×
20
10537

    We obtained :
      x =
8655000
10537
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 821.391288



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。