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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 0.05 = (2+(4/69+X)*50)/(90+90X) .
    Question type: Equation
    Solution:Original question:
     
1
20
= (2 + (4 ÷ 69 + X ) × 50) ÷ (90 + 90 X )
     Multiply both sides of the equation by:(90 + 90 X )
     
1
20
(90 + 90 X ) = (2 + (4 ÷ 69 + X ) × 50)
    Remove a bracket on the left of the equation::
     
1
20
× 90 +
1
20
× 90 X = (2 + (4 ÷ 69 + X ) × 50)
    Remove a bracket on the right of the equation::
     
1
20
× 90 +
1
20
× 90 X = 2 + (4 ÷ 69 + X ) × 50
    The equation is reduced to :
     
9
2
+
9
2
X = 2 + (4 ÷ 69 + X ) × 50
    Remove a bracket on the right of the equation::
     
9
2
+
9
2
X = 2 + 4 ÷ 69 × 50 + X × 50
    The equation is reduced to :
     
9
2
+
9
2
X = 2 +
200
69
+ X × 50
    The equation is reduced to :
     
9
2
+
9
2
X =
338
69
+ 50 X

    Transposition :
     
9
2
X 50 X =
338
69
9
2

    Combine the items on the left of the equation:
      -
91
2
X =
338
69
9
2

    Combine the items on the right of the equation:
      -
91
2
X =
55
138

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
55
138
=
91
2
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 :
     
91
2
X = -
55
138

    The coefficient of the unknown number is reduced to 1 :
      X = -
55
138
÷
91
2
        = -
55
138
×
2
91
        = -
55
69
×
1
91

    We obtained :
      X = -
55
6279
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 0.008759



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