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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 0.8*42900/(0.971*(1+0.0271))+(21.72+8.314*1.6)*900.528 = 1.025((20.576+2.265*0.001*x)+8.314)*x .
    Question type: Equation
    Solution:Original question:
     
4
5
× 42900 ÷ (
971
1000
(1 +
271
10000
)) + (
543
25
+
4157
500
×
8
5
) ×
112566
125
=
41
40
((
2572
125
+
453
200
×
1
1000
x ) +
4157
500
) x
     Multiply both sides of the equation by:(
971
1000
(1 +
271
10000
))
     
4
5
× 42900 + (
543
25
+
4157
500
×
8
5
) ×
112566
125
(
971
1000
(1 +
271
10000
)) =
41
40
((
2572
125
+
453
200
×
1
1000
x ) +
4157
500
) x (
971
1000
(1 +
271
10000
))
    Remove a bracket on the left of the equation::
     
4
5
× 42900 +
543
25
×
112566
125
(
971
1000
(1 +
271
10000
)) +
4157
500
×
8
5
×
112566
125
(
971
1000
(1 +
271
10000
)) =
41
40
((
2572
125
+
453
200
×
1
1000
x ) +
4157
500
) x (
971
1000
(1 +
271
10000
))
    Remove a bracket on the right of the equation::
     
4
5
× 42900 +
543
25
×
112566
125
(
971
1000
(1 +
271
10000
)) +
4157
500
×
8
5
×
112566
125
(
971
1000
(1 +
271
10000
)) =
41
40
(
2572
125
+
453
200
×
1
1000
x ) x (
971
1000
(1 +
271
10000
)) +
41
40
×
4157
500
x (
971
1000
(1 +
271
10000
))
    The equation is reduced to :
     34320 +
61123338
3125
(
971
1000
(1 +
271
10000
)) +
935873724
78125
(
971
1000
(1 +
271
10000
)) =
41
40
(
2572
125
+
453
200
×
1
1000
x ) x (
971
1000
(1 +
271
10000
)) +
170437
20000
x (
971
1000
(1 +
271
10000
))
    Remove a bracket on the left of the equation:
     34320 +
61123338
3125
×
971
1000
(1 +
271
10000
) +
935873724
78125
(
971
1000
(1 +
271
10000
)) =
41
40
(
2572
125
+
453
200
×
1
1000
x ) x (
971
1000
(1 +
271
10000
)) +
170437
20000
x (
971
1000
(1 +
271
10000
))
    Remove a bracket on the right of the equation::
     34320 +
61123338
3125
×
971
1000
(1 +
271
10000
) +
935873724
78125
(
971
1000
(1 +
271
10000
)) =
41
40
×
2572
125
x (
971
1000
(1 +
271
10000
)) +
41
40
×
453
200
×
1
1000
x x (
971
1000
(1 +
271
10000
)) +
170437
20000
x

    
        x≈1933.929640 , 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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