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    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 (x*0.9)-150-((x*0.9)-150)*(0.05+0.018) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x ×
9
10
)150(( x ×
9
10
)150)(
1
20
+
9
500
) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
9
10
150(( x ×
9
10
)150)(
1
20
+
9
500
)
                                             =
9
10
x 150( x ×
9
10
)(
1
20
+
9
500
) + 150(
1
20
+
9
500
)
                                             =
9
10
x 150 x ×
9
10
(
1
20
+
9
500
) + 150(
1
20
+
9
500
)
                                             =
9
10
x 150 x ×
9
10
×
1
20
x ×
9
10
×
9
500
+ 150(
1
20
+
9
500
)
                                             =
9
10
x 150 x ×
9
200
x ×
81
5000
+ 150(
1
20
+
9
500
)
                                             =
2097
2500
x 150 + 150(
1
20
+
9
500
)
                                             =
2097
2500
x 150 + 150 ×
1
20
+ 150 ×
9
500
                                             =
2097
2500
x 150 +
15
2
+
27
10
                                             =
2097
2500
x
699
5
    The equation is transformed into :
     
2097
2500
x
699
5
= 0

    Transposition :
     
2097
2500
x = 0 +
699
5

    Combine the items on the right of the equation:
     
2097
2500
x =
699
5

    The coefficient of the unknown number is reduced to 1 :
      x =
699
5
÷
2097
2500
        =
699
5
×
2500
2097
        = 233 ×
500
699

    We obtained :
      x =
116500
699
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
500
3

    Convert the result to decimal form :
      x = 166.666667



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