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 280+60+（23*2*X*0.8）*1 = 10*(7+2*X)*(5.5-0.5)*1 .
    Question type: Equation
    Solution:Original question:
     280 + 60 + (23 × 2 X ×
4
5
) × 1 = 10(7 + 2 X )(
11
2
 −
1
2
) × 1
     Left side of the equation = 340 + (23 × 2 X ×
4
5
) × 1
    The equation is transformed into :
     340 + (23 × 2 X ×
4
5
) × 1 = 10(7 + 2 X )(
11
2
 −
1
2
) × 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 340 + 23 × 2 X ×
4
5
 × 1
                                             = 340 +
184
5
 X
    The equation is transformed into :
     340 +
184
5
 X = 10(7 + 2 X )(
11
2
 −
1
2
) × 1
     Right side of the equation = 10(7 + 2 X )(
11
2
 −
1
2
)
    The equation is transformed into :
     340 +
184
5
 X = 10(7 + 2 X )(
11
2
 −
1
2
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 10 × 7(
11
2
 −
1
2
) + 10 × 2 X (
11
2
 −
1
2
)
                                               = 70(
11
2
 −
1
2
) + 20 X (
11
2
 −
1
2
)
                                               = 70 ×
11
2
 − 70 ×
1
2
 + 20 X (
11
2
 −
1
2
)
                                               = 385 − 35 + 20 X (
11
2
 −
1
2
)
                                               = 350 + 20 X (
11
2
 −
1
2
)
                                               = 350 + 20 X ×
11
2
 − 20 X ×
1
2
                                               = 350 + 110 X − 10 X
                                               = 350 + 100 X
    The equation is transformed into :
     340 +
184
5
 X = 350 + 100 X

    Transposition :
     
184
5
 X − 100 X = 350 − 340

    Combine the items on the left of the equation:
      -
316
5
 X = 350 − 340

    Combine the items on the right of the equation:
      -
316
5
 X = 10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 10 =
316
5
 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 :
     
316
5
 X = - 10

    The coefficient of the unknown number is reduced to 1 :
      X = - 10 ÷
316
5
        = - 10 ×
5
316
        = - 5 ×
5
158

    We obtained :
      X = -
25
158
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 0.158228



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


Return