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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 (9535+40+x)*(4.69%+1.8%) = 4x .
    Question type: Equation
    Solution:Original question:
     (9535 + 40 + x )(
469
10000
+
9
500
) = 4 x
    Remove the bracket on the left of the equation:
     Left side of the equation = 9535(
469
10000
+
9
500
) + 40(
469
10000
+
9
500
) + x (
469
10000
+
9
500
)
                                             = 9535 ×
469
10000
+ 9535 ×
9
500
+ 40(
469
10000
+
9
500
) + x (
469
10000
+
9
500
)
                                             =
894383
2000
+
17163
100
+ 40(
469
10000
+
9
500
) + x (
469
10000
+
9
500
)
                                             =
1237643
2000
+ 40(
469
10000
+
9
500
) + x (
469
10000
+
9
500
)
                                             =
1237643
2000
+ 40 ×
469
10000
+ 40 ×
9
500
+ x (
469
10000
+
9
500
)
                                             =
1237643
2000
+
469
250
+
18
25
+ x (
469
10000
+
9
500
)
                                             =
248567
400
+ x (
469
10000
+
9
500
)
                                             =
248567
400
+ x ×
469
10000
+ x ×
9
500
                                             =
248567
400
+
649
10000
x
    The equation is transformed into :
     
248567
400
+
649
10000
x = 4 x

    Transposition :
     
649
10000
x 4 x = -
248567
400

    Combine the items on the left of the equation:
      -
39351
10000
x = -
248567
400

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
248567
400
=
39351
10000
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 :
     
39351
10000
x =
248567
400

    The coefficient of the unknown number is reduced to 1 :
      x =
248567
400
÷
39351
10000
        =
248567
400
×
10000
39351
        = 248567 ×
25
39351

    We obtained :
      x =
6214175
39351
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 157.916571



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