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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 x = (16640000-x)/1.09*0.09+(16640000-x)/1.09*0.09*0.125+x/1.09*0.0001+(x/1.09-(16640000-x)/1.09*0.09-(16640000-x)/1.09*0.09*0.125-x/1.09*0.0001)*0.25 .
Question type: Equation
Solution:Original question:
| x | = | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | + | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | + | x | ÷ | 109 100 | × | 1 10000 | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| Right side of the equation = | ( | 16640000 | − | x | ) | × | 9 109 | + | ( | 16640000 | − | x | ) | × | 9 872 | + | x | × | 1 10900 | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| x | = | ( | 16640000 | − | x | ) | × | 9 109 | + | ( | 16640000 | − | x | ) | × | 9 872 | + | 1 10900 | x | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| Right side of the equation = | 16640000 | × | 9 109 | − | x | × | 9 109 | + | ( | 16640000 | − | x | ) | × | 9 872 | + | 1 10900 | x | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 149760000 109 | − | x | × | 9 109 | + | ( | 16640000 | − | x | ) | × | 9 872 | + | 1 10900 | x | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 149760000 109 | − | 899 10900 | x | + | ( | 16640000 | − | x | ) | × | 9 872 | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 149760000 109 | − | 899 10900 | x | + | 16640000 | × | 9 872 | − | x | × | 9 872 | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 149760000 109 | − | 899 10900 | x | + | 18720000 109 | − | x | × | 9 872 | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 168480000 109 | − | 2023 21800 | x | + | ( | x | ÷ | 109 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 1 10000 | ) | × | 1 4 |
| = | 168480000 109 | − | 2023 21800 | x | + | x | ÷ | 109 100 | × | 1 4 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 | × | 9 100 | × | 1 4 | − | ( | 16640000 | − | x | ) | ÷ | 109 100 |
| = | 168480000 109 | − | 2023 21800 | x | + | x | × | 25 109 | − | ( | 16640000 | − | x | ) | × | 9 436 | − | ( | 16640000 | − | x | ) | × | 9 3488 | − | x | × | 1 43600 |
| = | 168480000 109 | + | 5953 43600 | x | − | ( | 16640000 | − | x | ) | × | 9 436 | − | ( | 16640000 | − | x | ) | × | 9 3488 |
| = | 168480000 109 | + | 5953 43600 | x | − | 16640000 | × | 9 436 | + | x | × | 9 436 | − | ( | 16640000 | − | x | ) | × | 9 3488 |
| = | 168480000 109 | + | 5953 43600 | x | − | 37440000 109 | + | x | × | 9 436 | − | ( | 16640000 | − | x | ) | × | 9 3488 |
| = | 131040000 109 | + | 6853 43600 | x | − | ( | 16640000 | − | x | ) | × | 9 3488 |
| = | 131040000 109 | + | 6853 43600 | x | − | 16640000 | × | 9 3488 | + | x | × | 9 3488 |
| = | 131040000 109 | + | 6853 43600 | x | − | 4680000 109 | + | x | × | 9 3488 |
| = | 126360000 109 | + | 13931 87200 | x |
| x | = | 126360000 109 | + | 13931 87200 | x |
Transposition :
| x | − | 13931 87200 | x | = | 126360000 109 |
Combine the items on the left of the equation:
73269 87200 | x | = | 126360000 109 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 126360000 109 | ÷ | 73269 87200 |
| = | 126360000 109 | × | 87200 73269 |
| = | 14040000 109 | × | 87200 8141 |
We obtained :
| x | = | 1224288000000 887369 |