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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 (1/15+1/25)*(-184)+(1/15)*270 = x/25 .
    Question type: Equation
    Solution:Original question:
     (1 ÷ 15 + 1 ÷ 25)( - 184) + (1 ÷ 15) × 270 = x ÷ 25
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 ÷ 15 × ( - 184) + 1 ÷ 25 × ( - 184) + (1 ÷ 15) × 270
                                             =
1
15
( - 184) +
1
25
( - 184) + (1 ÷ 15) × 270
                                             = -
1
15
× 184 +
1
25
( - 184) + (1 ÷ 15) × 270
                                             = -
184
15
+
1
25
( - 184) + (1 ÷ 15) × 270
                                             = -
184
15
1
25
× 184 + (1 ÷ 15) × 270
                                             = -
184
15
184
25
+ (1 ÷ 15) × 270
                                             = -
1472
75
+ (1 ÷ 15) × 270
                                             = -
1472
75
+ 1 ÷ 15 × 270
                                             = -
1472
75
+ 18
                                             = -
122
75
    The equation is transformed into :
      -
122
75
= x ÷ 25

    Transposition :
      -
1
25
x =
122
75

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
122
75
=
1
25
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 :
     
1
25
x = -
122
75

    The coefficient of the unknown number is reduced to 1 :
      x = -
122
75
÷
1
25
        = -
122
75
× 25
        = -
122
3
× 1

    We obtained :
      x = -
122
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 40.666667



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