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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 {[10x+(330-25+183.36+10)-(10x*0.13-25)*0.1]*0.75}/700 = 7% .
    Question type: Equation
    Solution:Original question:
     ((10 x + (33025 +
4584
25
+ 10)(10 x ×
13
100
25) ×
1
10
) ×
3
4
) ÷ 700 =
7
100
    Remove the bracket on the left of the equation:
     Left side of the equation = (10 x + (33025 +
4584
25
+ 10)(10 x ×
13
100
25) ×
1
10
) ×
3
4
×
1
700
                                             = (10 x + (33025 +
4584
25
+ 10)(10 x ×
13
100
25) ×
1
10
) ×
3
2800
                                             = 10 x ×
3
2800
+ (33025 +
4584
25
+ 10) ×
3
2800
(10 x ×
13
100
25) ×
1
10
×
3
2800
                                             =
3
280
x + (33025 +
4584
25
+ 10) ×
3
2800
(10 x ×
13
100
25) ×
3
28000
                                             =
3
280
x + 330 ×
3
2800
25 ×
3
2800
+
4584
25
×
3
2800
+ 10 ×
3
2800
(10 x ×
13
100
25) ×
3
28000
                                             =
3
280
x +
99
280
3
112
+
1719
8750
+
3
280
(10 x ×
13
100
25) ×
3
28000
                                             =
3
280
x +
37377
70000
(10 x ×
13
100
25) ×
3
28000
                                             =
3
280
x +
37377
70000
10 x ×
13
100
×
3
28000
+ 25 ×
3
28000
                                             =
3
280
x +
37377
70000
39
280000
x +
3
1120
                                             =
423
40000
x +
75129
140000
    The equation is transformed into :
     
423
40000
x +
75129
140000
=
7
100

    Transposition :
     
423
40000
x =
7
100
75129
140000

    Combine the items on the right of the equation:
     
423
40000
x = -
65329
140000

    The coefficient of the unknown number is reduced to 1 :
      x = -
65329
140000
÷
423
40000
        = -
65329
140000
×
40000
423
        = -
65329
7
×
2
423

    We obtained :
      x = -
130658
2961
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 44.126309



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