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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 700*50/4.56*25+260*(x-50)/5.88*((x-50)/2+50)*2+180*100/4.56*(50+50)+4680*383.9 = x*(700*50/4.56+260*(x-50)/5.88*2+180*100/4.56+4680) .
    Question type: Equation
    Solution:Original question:
     700 × 50 ÷
114
25
× 25 + 260( x 50) ÷
147
25
× (( x 50) ÷ 2 + 50) × 2 + 180 × 100 ÷
114
25
= x (700 × 50 ÷
114
25
+ 260( x 50) ÷
147
25
× 2 + 180 × 100 ÷
114
25
+ 4680)
     Left side of the equation =
10937500
57
+
13000
147
( x 50)(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50) + 1796652
                                             =
113346664
57
+
13000
147
( x 50)(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
    The equation is transformed into :
     
113346664
57
+
13000
147
( x 50)(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50) = x (700 × 50 ÷
114
25
+ 260( x 50) ÷
147
25
× 2 + 180 × 100 ÷
114
25
+ 4680)
    Remove the bracket on the left of the equation:
     Left side of the equation =
113346664
57
+
13000
147
x (( x 50) ÷ 2 + 50)
13000
147
× 50(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
13000
147
x (( x 50) ÷ 2 + 50)
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
13000
147
x ( x 50) ÷ 2 +
13000
147
x × 50
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
6500
147
x ( x 50) +
650000
147
x
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
6500
147
x x
6500
147
x × 50 +
650000
147
x
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
                                             =
113346664
57
+
6500
147
x x
325000
147
x +
650000
147
x
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
6500
147
x x +
325000
147
x
650000
147
(( x 50) ÷ 2 + 50) +
75000
19
(50 + 50)
                                             =
113346664
57
+
6500
147
x x +
325000
147
x
650000
147
( x 50) ÷ 2
650000
147
× 50 +
75000
19
                                             =
113346664
57
+
6500
147
x x +
325000
147
x
325000
147
( x 50)
32500000
147
+
75000
19
(50 + 50)

    
        x≈129.182430 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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