Mathematics
         
语言:中文    Language:English
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 (60-2X)*12*305*2+16*(120-2*12)*305 = X*12*400*4+(120-2*12)*12*400*2 .
    Question type: Equation
    Solution:Original question:
     (602 X ) × 12 × 305 × 2 + 16(1202 × 12) × 305 = X × 12 × 400 × 4 + (1202 × 12) × 12 × 400 × 2
     Left side of the equation = (602 X ) × 7320 + 4880(1202 × 12)
    The equation is transformed into :
     (602 X ) × 7320 + 4880(1202 × 12) = X × 12 × 400 × 4 + (1202 × 12) × 12 × 400 × 2
    Remove the bracket on the left of the equation:
     Left side of the equation = 60 × 73202 X × 7320 + 4880(1202 × 12)
                                             = 43920014640 X + 4880(1202 × 12)
                                             = 43920014640 X + 4880 × 1204880 × 2 × 12
                                             = 43920014640 X + 585600117120
                                             = 90768014640 X
    The equation is transformed into :
     90768014640 X = X × 12 × 400 × 4 + (1202 × 12) × 12 × 400 × 2
     Right side of the equation = X × 19200 + (1202 × 12) × 9600
    The equation is transformed into :
     90768014640 X = 19200 X + (1202 × 12) × 9600
    Remove the bracket on the right of the equation:
     Right side of the equation = 19200 X + 120 × 96002 × 12 × 9600
                                               = 19200 X + 1152000230400
                                               = 19200 X + 921600
    The equation is transformed into :
     90768014640 X = 19200 X + 921600

    Transposition :
      - 14640 X 19200 X = 921600907680

    Combine the items on the left of the equation:
      - 33840 X = 921600907680

    Combine the items on the right of the equation:
      - 33840 X = 13920

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 13920 = 33840 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 :
     33840 X = - 13920

    The coefficient of the unknown number is reduced to 1 :
      X = - 13920 ÷ 33840
        = - 13920 ×
1
33840
        = - 58 ×
1
141

    We obtained :
      X = -
58
141
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 0.411348



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





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