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 （38.8+（x-1000）/（3000-1000）*（103.8-38.8）)*1.1*1*1 = 2242.87-x .
    Question type: Equation
    Solution:Original question:
     (
194
5
 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
)) ×
11
10
 × 1 × 1 =
224287
100
 − x
    Remove a bracket on the left of the equation:：
     
194
5
 ×
11
10
 × 1 × 1 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
) ×
11
10
 × 1 × 1 =
224287
100
 − x
    The equation is reduced to :
     
1067
25
 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
) ×
11
10
 =
224287
100
 − x
     Multiply both sides of the equation by:(3000 − 1000)
     
1067
25
(3000 − 1000) + ( x − 1000)(
519
5
 −
194
5
) ×
11
10
 =
224287
100
(3000 − 1000) − x (3000 − 1000)
    Remove a bracket on the left of the equation:
     
1067
25
 × 3000 −
1067
25
 × 1000 + ( x − 1000)(
519
5
 −
194
5
) ×
11
10
 =
224287
100
(3000 − 1000) − x (3000 − 1000)
    Remove a bracket on the right of the equation:：
     
1067
25
 × 3000 −
1067
25
 × 1000 + ( x − 1000)(
519
5
 −
194
5
) ×
11
10
 =
224287
100
 × 3000 −
224287
100
 × 1000 − x (3000 − 1000)
    The equation is reduced to :
     128040 − 42680 + ( x − 1000)(
519
5
 −
194
5
) ×
11
10
 = 6728610 − 2242870 − x (3000 − 1000)
    The equation is reduced to :
     85360 + ( x − 1000)(
519
5
 −
194
5
) ×
11
10
 = 4485740 − x (3000 − 1000)
    Remove a bracket on the left of the equation:
     85360 + x (
519
5
 −
194
5
) ×
11
10
 − 1000(
519
5
 −
194
5
) ×
11
10
 = 4485740 − x (3000 − 1000)
    Remove a bracket on the right of the equation:：
     85360 + x (
519
5
 −
194
5
) ×
11
10
 − 1000(
519
5
 −
194
5
) ×
11
10
 = 4485740 − x × 3000 + x × 1000
    The equation is reduced to :
     85360 + x (
519
5
 −
194
5
) ×
11
10
 − 1100(
519
5
 −
194
5
) = 4485740 − x × 3000 + x × 1000
    The equation is reduced to :
     85360 + x (
519
5
 −
194
5
) ×
11
10
 − 1100(
519
5
 −
194
5
) = 4485740 − 2000 x
    Remove a bracket on the left of the equation:
     85360 + x ×
519
5
 ×
11
10
 − x ×
194
5
 ×
11
10
 − 1100(
519
5
 −
194
5
) = 4485740 − 2000 x
    The equation is reduced to :
     85360 + x ×
5709
50
 − x ×
1067
25
 − 1100(
519
5
 −
194
5
) = 4485740 − 2000 x
    The equation is reduced to :
     85360 +
143
2
 x − 1100(
519
5
 −
194
5
) = 4485740 − 2000 x
    Remove a bracket on the left of the equation:
     85360 +
143
2
 x − 1100 ×
519
5
 + 1100 ×
194
5
 = 4485740 − 2000 x
    The equation is reduced to :
     85360 +
143
2
 x − 114180 + 42680 = 4485740 − 2000 x
    The equation is reduced to :
     13860 +
143
2
 x = 4485740 − 2000 x

    Transposition :
     
143
2
 x + 2000 x = 4485740 − 13860

    Combine the items on the left of the equation:
     
4143
2
 x = 4485740 − 13860

    Combine the items on the right of the equation:
     
4143
2
 x = 4471880

    The coefficient of the unknown number is reduced to 1 :
      x = 4471880 ÷
4143
2
        = 4471880 ×
2
4143

    We obtained :
      x =
8943760
4143
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2158.764181



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


Return