Mathematics
         
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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+x% = 0.9{1+(x+15)%} .
    Question type: Equation
    Solution:Original question:
     1 + x =
9
10
(1 + ( x + 15) ×
1
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
9
10
× 1 +
9
10
( x + 15) ×
1
100
                                               =
9
10
+
9
1000
( x + 15)
                                               =
9
10
+
9
1000
x +
9
1000
× 15
                                               =
9
10
+
9
1000
x +
27
200
                                               =
207
200
+
9
1000
x
    The equation is transformed into :
     1 + x =
207
200
+
9
1000
x

    Transposition :
      x
9
1000
x =
207
200
1

    Combine the items on the left of the equation:
     
991
1000
x =
207
200
1

    Combine the items on the right of the equation:
     
991
1000
x =
7
200

    The coefficient of the unknown number is reduced to 1 :
      x =
7
200
÷
991
1000
        =
7
200
×
1000
991
        = 7 ×
5
991

    We obtained :
      x =
35
991
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.035318



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