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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 26.28*270*36+20.97*270*(x-36) = 447*308+443*402-459*509-660*(1.25x-61)/(1.25x-36) .
    Question type: Equation
    Solution:Original question:
     
657
25
× 270 × 36 +
2097
100
× 270( x 36) = 447 × 308 + 443 × 402459 × 509660(
5
4
x 61) ÷ (
5
4
x 36)
     Multiply both sides of the equation by:(
5
4
x 36)
     
657
25
× 270 × 36(
5
4
x 36) +
2097
100
× 270( x 36)(
5
4
x 36) = 447 × 308(
5
4
x 36) + 443 × 402(
5
4
x 36)459 × 509(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the left of the equation::
     
657
25
× 270 × 36 ×
5
4
x
657
25
× 270 × 36 × 36 +
2097
100
× 270( x 36) = 447 × 308(
5
4
x 36) + 443 × 402(
5
4
x 36)459 × 509(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the right of the equation::
     
657
25
× 270 × 36 ×
5
4
x
657
25
× 270 × 36 × 36 +
2097
100
× 270( x 36) = 447 × 308 ×
5
4
x 447 × 308 × 36 + 443 × 402(
5
4
x 36)459 × 509
    The equation is reduced to :
     319302 x
45979488
5
+
56619
10
( x 36)(
5
4
x 36) = 172095 x 4956336 + 178086(
5
4
x 36)233631(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the left of the equation:
     319302 x
45979488
5
+
56619
10
x (
5
4
x 36)
56619
10
× 36(
5
4
x 36) = 172095 x 4956336 + 178086(
5
4
x 36)233631(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the right of the equation::
     319302 x
45979488
5
+
56619
10
x (
5
4
x 36)
56619
10
× 36(
5
4
x 36) = 172095 x 4956336 + 178086 ×
5
4
x 178086 × 36233631(
5
4
x 36)660(
5
4
x 61)
    The equation is reduced to :
     319302 x
45979488
5
+
56619
10
x (
5
4
x 36)
1019142
5
(
5
4
x 36) = 172095 x 4956336 +
445215
2
x 6411096233631(
5
4
x 36)660(
5
4
x 61)
    The equation is reduced to :
     319302 x
45979488
5
+
56619
10
x (
5
4
x 36)
1019142
5
(
5
4
x 36) =
789405
2
x 11367432233631(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the left of the equation:
     319302 x
45979488
5
+
56619
10
x ×
5
4
x
56619
10
x × 36
1019142
5
(
5
4
x 36) =
789405
2
x 11367432233631(
5
4
x 36)660(
5
4
x 61)
    Remove a bracket on the right of the equation::
     319302 x
45979488
5
+
56619
10
x ×
5
4
x
56619
10
x × 36
1019142
5
(
5
4
x 36) =
789405
2
x 11367432233631 ×
5
4
x + 233631 × 36660(
5
4
x 61)
    The equation is reduced to :
     319302 x
45979488
5
+
56619
8
x x
1019142
5
x
1019142
5
(
5
4
x 36) =
789405
2
x 11367432
1168155
4
x + 8410716660(
5
4
x 61)
    The equation is reduced to :
     
577368
5
x
45979488
5
+
56619
8
x x
1019142
5
(
5
4
x 36) =
410655
4
x 2956716660(
5
4
x 61)
    Remove a bracket on the left of the equation:
     
577368
5
x
45979488
5
+
56619
8
x x
1019142
5
×
5
4
x +
1019142
5
× 36 =
410655
4
x 2956716660(
5
4
x 61)
    Remove a bracket on the right of the equation::
     
577368
5
x
45979488
5
+
56619
8
x x
1019142
5
×
5
4
x +
1019142
5
× 36 =
410655
4
x 2956716660 ×
5
4
x + 660 × 61
    The equation is reduced to :
     
577368
5
x
45979488
5
+
56619
8
x x
509571
2
x +
36689112
5
=
410655
4
x 2956716825 x + 40260
    The equation is reduced to :
      -
1393119
10
x
9290376
5
+
56619
8
x x =
407355
4
x 2916456

    The solution of the equation:
        x1≈5.174778 , keep 6 decimal places
        x2≈28.898682 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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