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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 = 198.32+10.12+1+(x/1.09*0.09)*1.12+x/1.09*12% .
Question type: Equation
Solution:Original question:
| x | = | 4958 25 | + | 253 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 |
| Right side of the equation = | 4958 25 | + | 253 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 |
| = | 5236 25 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| x | = | 5236 25 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| Right side of the equation = | 5236 25 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 12 109 | x |
| = | 5236 25 | + | x | × | 252 2725 | + | 12 109 | x |
| = | 5236 25 | + | 552 2725 | x |
| x | = | 5236 25 | + | 552 2725 | x |
Transposition :
| x | − | 552 2725 | x | = | 5236 25 |
Combine the items on the left of the equation:
2173 2725 | x | = | 5236 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5236 25 | ÷ | 2173 2725 |
| = | 5236 25 | × | 2725 2173 |
| = | 5236 | × | 109 2173 |
We obtained :
| x | = | 570724 2173 |
Convert the result to decimal form :
| x | = | 262.64335 |