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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: 4 questions will be solved this time.Among them
           ☆1 equations
           ☆3 arithmetic calculations

[ 1/4 Equation]
    Work: Find the solution of equation (5*(x+530))/(x+530+1200) = (5*530)/(530+1200)+0.4 .
    Question type: Equation
    Solution:Original question:
     (5( x + 530)) ÷ ( x + 530 + 1200) = (5 × 530) ÷ (530 + 1200) +
2
5
     Multiply both sides of the equation by:( x + 530 + 1200) ,  (530 + 1200)
     (5( x + 530))(530 + 1200) = (5 × 530)( x + 530 + 1200) +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the left of the equation::
     5( x + 530)(530 + 1200) = (5 × 530)( x + 530 + 1200) +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the right of the equation::
     5( x + 530)(530 + 1200) = 5 × 530( x + 530 + 1200) +
2
5
( x + 530 + 1200)(530 + 1200)
    The equation is reduced to :
     5( x + 530)(530 + 1200) = 2650( x + 530 + 1200) +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the left of the equation:
     5 x (530 + 1200) + 5 × 530(530 + 1200) = 2650( x + 530 + 1200) +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the right of the equation::
     5 x (530 + 1200) + 5 × 530(530 + 1200) = 2650 x + 2650 × 530 + 2650 × 1200 +
2
5
( x + 530 + 1200)(530 + 1200)
    The equation is reduced to :
     5 x (530 + 1200) + 2650(530 + 1200) = 2650 x + 1404500 + 3180000 +
2
5
( x + 530 + 1200)(530 + 1200)
    The equation is reduced to :
     5 x (530 + 1200) + 2650(530 + 1200) = 2650 x + 4584500 +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the left of the equation:
     5 x × 530 + 5 x × 1200 + 2650(530 + 1200) = 2650 x + 4584500 +
2
5
( x + 530 + 1200)(530 + 1200)
    Remove a bracket on the right of the equation::
     5 x × 530 + 5 x × 1200 + 2650(530 + 1200) = 2650 x + 4584500 +
2
5
x (530 + 1200) +
2
5
× 530(530 + 1200) +
2
5
× 1200(530 + 1200)
    The equation is reduced to :
     2650 x + 6000 x + 2650(530 + 1200) = 2650 x + 4584500 +
2
5
x (530 + 1200) + 212(530 + 1200) + 480(530 + 1200)
    The equation is reduced to :
     8650 x + 2650(530 + 1200) = 2650 x + 4584500 +
2
5
x (530 + 1200) + 212(530 + 1200) + 480(530 + 1200)
    Remove a bracket on the left of the equation:
     8650 x + 2650 × 530 + 2650 × 1200 = 2650 x + 4584500 +
2
5
x (530 + 1200) + 212(530 + 1200) + 480(530 + 1200)
    Remove a bracket on the right of the equation::
     8650 x + 2650 × 530 + 2650 × 1200 = 2650 x + 4584500 +
2
5
x × 530 +
2
5
x × 1200 + 212(530 + 1200) + 480
    The equation is reduced to :
     8650 x + 1404500 + 3180000 = 2650 x + 4584500 + 212 x + 480 x + 212(530 + 1200) + 480(530 + 1200)
    The equation is reduced to :
     8650 x + 4584500 = 3342 x + 4584500 + 212(530 + 1200) + 480(530 + 1200)
    Remove a bracket on the right of the equation::
     8650 x + 4584500 = 3342 x + 4584500 + 212 × 530 + 212 × 1200 + 480(530 + 1200)
    The equation is reduced to :
     8650 x + 4584500 = 3342 x + 4584500 + 112360 + 254400 + 480(530 + 1200)
    The equation is reduced to :
     8650 x + 4584500 = 3342 x + 4951260 + 480(530 + 1200)
    Remove a bracket on the right of the equation::
     8650 x + 4584500 = 3342 x + 4951260 + 480 × 530 + 480 × 1200
    The equation is reduced to :
     8650 x + 4584500 = 3342 x + 4951260 + 254400 + 576000
    The equation is reduced to :
     8650 x + 4584500 = 3342 x + 5781660

    Transposition :
     8650 x 3342 x = 57816604584500

    Combine the items on the left of the equation:
     5308 x = 57816604584500

    Combine the items on the right of the equation:
     5308 x = 1197160

    The coefficient of the unknown number is reduced to 1 :
      x = 1197160 ÷ 5308
        = 1197160 ×
1
5308
        = 299290 ×
1
1327

    We obtained :
      x =
299290
1327
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 225.538809

[2/4 Formula]
    Work: Calculate the value of equation 0.4/((5*530)/(530+1200)) .
    Question type: Mathematical calculation
    Solution:
          0.4/((5*530)/(530+1200))
        =0.4/(2650/(530+1200))
        =0.4/(2650/1730)
        =0.4/1.531792
        =0.261132

    Answer:0.4/((5*530)/(530+1200))=0.261132
[3/4 Formula]
    Work: Calculate the value of equation (5*530)/(530+1200) .
    Question type: Mathematical calculation
    Solution:
          (5*530)/(530+1200)
        =2650/(530+1200)
        =2650/1730
        =1.531792

    Answer:(5*530)/(530+1200)=1.531792
[4/4 Formula]
    Work: Calculate the value of equation (1446.86*((5*530)/(530+1200))*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4)) .
    Question type: Mathematical calculation
    Solution:
          (1446.86*((5*530)/(530+1200))*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4))
        =(1446.86*(2650/(530+1200))*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4))
        =(1446.86*(2650/1730)*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4))
        =(1446.86*1.531792*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4))
        =2548.731859/(1.15*1446.85*((5*530)/(530+1200)+0.4))
        =2548.731859/(1.15*1446.85*(2650/(530+1200)+0.4))
        =2548.731859/(1.15*1446.85*(2650/1730+0.4))
        =2548.731859/(1.15*1446.85*1.931792)
        =2548.731859/3214.265243
        =0.792944

    Answer:(1446.86*((5*530)/(530+1200))*1.15)/(1.15*1446.85*((5*530)/(530+1200)+0.4))=0.792944


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