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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 (173.5+364.5)/29*x+145/29*(x+15)+87/29*(x+30) = 2130 .
    Question type: Equation
    Solution:Original question:
     (
347
2
+
729
2
) ÷ 29 × x + 145 ÷ 29 × ( x + 15) + 87 ÷ 29 × ( x + 30) = 2130
     Left side of the equation = (
347
2
+
729
2
) ×
1
29
x + 5( x + 15) + 3( x + 30)
    The equation is transformed into :
     (
347
2
+
729
2
) ×
1
29
x + 5( x + 15) + 3( x + 30) = 2130
    Remove the bracket on the left of the equation:
     Left side of the equation =
347
2
×
1
29
x +
729
2
×
1
29
x + 5( x + 15) + 3( x + 30)
                                             =
347
58
x +
729
58
x + 5( x + 15) + 3( x + 30)
                                             =
538
29
x + 5( x + 15) + 3( x + 30)
                                             =
538
29
x + 5 x + 5 × 15 + 3( x + 30)
                                             =
538
29
x + 5 x + 75 + 3( x + 30)
                                             =
683
29
x + 75 + 3( x + 30)
                                             =
683
29
x + 75 + 3 x + 3 × 30
                                             =
683
29
x + 75 + 3 x + 90
                                             =
770
29
x + 165
    The equation is transformed into :
     
770
29
x + 165 = 2130

    Transposition :
     
770
29
x = 2130165

    Combine the items on the right of the equation:
     
770
29
x = 1965

    The coefficient of the unknown number is reduced to 1 :
      x = 1965 ÷
770
29
        = 1965 ×
29
770
        = 393 ×
29
154

    We obtained :
      x =
11397
154
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 74.006494



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