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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
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[ 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）/(1.25-36) .
Question type: Equation
Solution:Original question:
657 25 | × | 270 | × | 36 | + | 2097 100 | × | 270 | ( | x | − | 36 | ) | = | 447 | × | 308 | + | 443 | × | 402 | − | 459 | × | 509 | − | 660 | ( | 5 4 | x | − | 61 | ) | ÷ | ( | 5 4 | − | 36 | ) |
| Multiply both sides of the equation by: | ( | 5 4 | − | 36 | ) |
657 25 | × | 270 | × | 36 | ( | 5 4 | − | 36 | ) | + | 2097 100 | × | 270 | ( | x | − | 36 | ) | ( | 5 4 | − | 36 | ) | = | 447 | × | 308 | ( | 5 4 | − | 36 | ) | + | 443 | × | 402 | ( | 5 4 | − | 36 | ) | − | 459 | × | 509 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
657 25 | × | 270 | × | 36 | × | 5 4 | − | 657 25 | × | 270 | × | 36 | × | 36 | + | 2097 100 | × | 270 | ( | x | − | 36 | ) | ( | 5 4 | − | 36 | ) | = | 447 | × | 308 | ( | 5 4 | − | 36 | ) | + | 443 | × | 402 | ( | 5 4 | − | 36 | ) | − | 459 | × | 509 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
657 25 | × | 270 | × | 36 | × | 5 4 | − | 657 25 | × | 270 | × | 36 | × | 36 | + | 2097 100 | × | 270 | ( | x | − | 36 | ) | ( | 5 4 | − | 36 | ) | = | 447 | × | 308 | × | 5 4 | − | 447 | × | 308 | × | 36 | + | 443 | × | 402 | ( | 5 4 | − | 36 | ) | − | 459 | × | 509 | ( | 5 4 | − | 36 | ) |
| 319302 | − | 45979488 5 | + | 56619 10 | ( | x | − | 36 | ) | ( | 5 4 | − | 36 | ) | = | 172095 | − | 4956336 | + | 178086 | ( | 5 4 | − | 36 | ) | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | ( | x | − | 36 | ) | ( | 5 4 | − | 36 | ) | = | - | 4784241 | + | 178086 | ( | 5 4 | − | 36 | ) | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | ( | 5 4 | − | 36 | ) | − | 56619 10 | × | 36 | ( | 5 4 | − | 36 | ) | = | - | 4784241 | + | 178086 | ( | 5 4 | − | 36 | ) | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | ( | 5 4 | − | 36 | ) | − | 56619 10 | × | 36 | ( | 5 4 | − | 36 | ) | = | - | 4784241 | + | 178086 | × | 5 4 | − | 178086 | × | 36 | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | ( | 5 4 | − | 36 | ) | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 4784241 | + | 445215 2 | − | 6411096 | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | ( | 5 4 | − | 36 | ) | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 21945459 2 | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | × | 5 4 | − | 56619 10 | x | × | 36 | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 21945459 2 | − | 233631 | ( | 5 4 | − | 36 | ) | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 10 | x | × | 5 4 | − | 56619 10 | x | × | 36 | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 21945459 2 | − | 233631 | × | 5 4 | + | 233631 | × | 36 | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | + | 56619 8 | x | − | 1019142 5 | x | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 21945459 2 | − | 1168155 4 | + | 8410716 | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | − | 7870041 40 | x | − | 1019142 5 | ( | 5 4 | − | 36 | ) | = | - | 11416209 4 | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | − | 7870041 40 | x | − | 1019142 5 | × | 5 4 | + | 1019142 5 | × | 36 | = | - | 11416209 4 | − | 660 | ( | 5 4 | x | − | 61 | ) |
| - | 44382978 5 | − | 7870041 40 | x | − | 1019142 5 | × | 5 4 | + | 1019142 5 | × | 36 | = | - | 11416209 4 | − | 660 | × | 5 4 | x | + | 660 | × | 61 |
| - | 44382978 5 | − | 7870041 40 | x | − | 509571 2 | + | 36689112 5 | = | - | 11416209 4 | − | 825 | x | + | 40260 |
| - | 17935587 10 | − | 7870041 40 | x | = | - | 11255169 4 | − | 825 | x |
Transposition :
| - | 7870041 40 | x | + | 825 | x | = | - | 11255169 4 | + | 17935587 10 |
Combine the items on the left of the equation:
| - | 7837041 40 | x | = | - | 11255169 4 | + | 17935587 10 |
Combine the items on the right of the equation:
| - | 7837041 40 | x | = | - | 20404671 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
20404671 20 | = | 7837041 40 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
7837041 40 | x | = | 20404671 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20404671 20 | ÷ | 7837041 40 |
| = | 20404671 20 | × | 40 7837041 |
| = | 6801557 | × | 2 2612347 |
We obtained :
| x | = | 13603114 2612347 |
Convert the result to decimal form :
| x | = | 5.207239 |