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 (80-50)*40+80*25%*(60-x)+x(0.9*(80*125%)-80) = 2200 .
    Question type: Equation
    Solution:Original question:
     (80 − 50) × 40 + 80 ×
25
100
(60 − x ) + x (
9
10
(80 ×
125
100
) − 80) = 2200
     Left side of the equation = (80 − 50) × 40 + 20(60 − x ) + x (
9
10
(80 ×
125
100
) − 80)
    The equation is transformed into :
     (80 − 50) × 40 + 20(60 − x ) + x (
9
10
(80 ×
125
100
) − 80) = 2200
    Remove the bracket on the left of the equation:
     Left side of the equation = 80 × 40 − 50 × 40 + 20(60 − x ) + x (
9
10
(80 ×
125
100
) − 80)
                                             = 3200 − 2000 + 20(60 − x ) + x (
9
10
(80 ×
125
100
) − 80)
                                             = 1200 + 20(60 − x ) + x (
9
10
(80 ×
125
100
) − 80)
                                             = 1200 + 20 × 60 − 20 x + x (
9
10
(80 ×
125
100
) − 80)
                                             = 1200 + 1200 − 20 x + x (
9
10
(80 ×
125
100
) − 80)
                                             = 2400 − 20 x + x (
9
10
(80 ×
125
100
) − 80)
                                             = 2400 − 20 x + x ×
9
10
(80 ×
125
100
) − x × 80
                                             = 2400 − 100 x + x ×
9
10
(80 ×
125
100
)
                                             = 2400 − 100 x + x ×
9
10
× 80 ×
125
100
                                             = 2400 − 100 x + x × 90
                                             = 2400 − 10 x
    The equation is transformed into :
     2400 − 10 x = 2200

    Transposition :
      - 10 x = 2200 − 2400

    Combine the items on the right of the equation:
      - 10 x = - 200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     200 = 10 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 :
     10 x = 200

    The coefficient of the unknown number is reduced to 1 :
      x = 200 ÷ 10
        = 200 ×
1
10
        = 20 × 1

    We obtained :
      x = 20
    This is the solution of the equation.



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