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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 (8906.5+43.75+15+X)*(3.5%) = 4X .
    Question type: Equation
    Solution:Original question:
     (
17813
2
+
175
4
+ 15 + X )(
7
200
) = 4 X
    Remove the bracket on the left of the equation:
     Left side of the equation =
17813
2
(
7
200
) +
175
4
(
7
200
) + 15(
7
200
) + X (
7
200
)
                                             =
17813
2
×
7
200
+
175
4
(
7
200
) + 15(
7
200
) + X (
7
200
)
                                             =
124691
400
+
175
4
(
7
200
) + 15(
7
200
) + X (
7
200
)
                                             =
124691
400
+
175
4
×
7
200
+ 15(
7
200
) + X (
7
200
)
                                             =
124691
400
+
49
32
+ 15(
7
200
) + X (
7
200
)
                                             =
250607
800
+ 15(
7
200
) + X (
7
200
)
                                             =
250607
800
+ 15 ×
7
200
+ X (
7
200
)
                                             =
250607
800
+
21
40
+ X (
7
200
)
                                             =
251027
800
+ X (
7
200
)
                                             =
251027
800
+ X ×
7
200
    The equation is transformed into :
     
251027
800
+
7
200
X = 4 X

    Transposition :
     
7
200
X 4 X = -
251027
800

    Combine the items on the left of the equation:
      -
793
200
X = -
251027
800

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
251027
800
=
793
200
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 :
     
793
200
X =
251027
800

    The coefficient of the unknown number is reduced to 1 :
      X =
251027
800
÷
793
200
        =
251027
800
×
200
793
        =
251027
4
×
1
793

    We obtained :
      X =
251027
3172
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 79.138398



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