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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: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (188+344)/30*x+180/30*(x+15)+90/30(x+30) = 1445 .
    Question type: Equation
    Solution:Original question:
     (188 + 344) ÷ 30 × x + 180 ÷ 30 × ( x + 15) + 90 ÷ 30 × ( x + 30) = 1445
     Left side of the equation = (188 + 344) ×
1
30
x + 6( x + 15) + 3( x + 30)
    The equation is transformed into :
     (188 + 344) ×
1
30
x + 6( x + 15) + 3( x + 30) = 1445
    Remove the bracket on the left of the equation:
     Left side of the equation = 188 ×
1
30
x + 344 ×
1
30
x + 6( x + 15) + 3( x + 30)
                                             =
94
15
x +
172
15
x + 6( x + 15) + 3( x + 30)
                                             =
266
15
x + 6( x + 15) + 3( x + 30)
                                             =
266
15
x + 6 x + 6 × 15 + 3( x + 30)
                                             =
266
15
x + 6 x + 90 + 3( x + 30)
                                             =
356
15
x + 90 + 3( x + 30)
                                             =
356
15
x + 90 + 3 x + 3 × 30
                                             =
356
15
x + 90 + 3 x + 90
                                             =
401
15
x + 180
    The equation is transformed into :
     
401
15
x + 180 = 1445

    Transposition :
     
401
15
x = 1445180

    Combine the items on the right of the equation:
     
401
15
x = 1265

    The coefficient of the unknown number is reduced to 1 :
      x = 1265 ÷
401
15
        = 1265 ×
15
401

    We obtained :
      x =
18975
401
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 47.319202



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