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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
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x-x/1.09*9%*1.12-x/1.09*0.05%-(x-x/1.09*9%*1.12-x/1.09*0.05%-3050.5)*30% = 3056.8*（1+0.05/0.75） .
Question type: Equation
Solution:Original question:
| x | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | x | ÷ | 109 100 | × | 1 2000 | − | ( | x | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | x | ÷ | 109 100 | × | 1 2000 | − | 6101 2 | ) | × | 30 100 | = | 15284 5 | ( | 1 | + | 1 20 | ÷ | 3 4 | ) |
| Left side of the equation = | x | − | x | × | 252 2725 | − | x | × | 1 2180 | − | ( | x | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | x | ÷ | 109 100 | × | 1 2000 | − | 6101 2 | ) | × | 30 100 |
| = | 9887 10900 | x | − | ( | x | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | x | ÷ | 109 100 | × | 1 2000 | − | 6101 2 | ) | × | 30 100 |
9887 10900 | x | − | ( | x | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | x | ÷ | 109 100 | × | 1 2000 | − | 6101 2 | ) | × | 30 100 | = | 15284 5 | ( | 1 | + | 1 20 | ÷ | 3 4 | ) |
| Left side of the equation = | 9887 10900 | x | − | x | × | 30 100 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | × | 30 100 | + | x | ÷ | 109 100 | × | 1 2000 |
| = | 9887 10900 | x | − | x | × | 30 100 | + | x | × | 378 13625 | + | x | × | 3 21800 | + | 18303 20 |
| = | 69209 109000 | x | + | 18303 20 |
69209 109000 | x | + | 18303 20 | = | 15284 5 | ( | 1 | + | 1 20 | ÷ | 3 4 | ) |
| Right side of the equation = | 15284 5 | × | 1 | + | 15284 5 | × | 1 20 | ÷ | 3 4 |
| = | 15284 5 | + | 15284 75 |
| = | 244544 75 |
69209 109000 | x | + | 18303 20 | = | 244544 75 |
Transposition :
69209 109000 | x | = | 244544 75 | − | 18303 20 |
Combine the items on the right of the equation:
69209 109000 | x | = | 703631 300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 703631 300 | ÷ | 69209 109000 |
| = | 703631 300 | × | 109000 69209 |
| = | 703631 3 | × | 1090 69209 |
We obtained :
| x | = | 766957790 207627 |
Convert the result to decimal form :
| x | = | 3693.921263 |