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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 = 7283.29+86.7+416.67+(x/1.06*0.06+x/1.06*0.06*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 728329 100 | + | 867 10 | + | 41667 100 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 389333 50 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| x | = | 389333 50 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 389333 50 | + | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 |
| = | 389333 50 | + | x | × | 3 53 | + | x | × | 3 530 |
| = | 389333 50 | + | 1749 28090 | x |
| x | = | 389333 50 | + | 1749 28090 | x |
Transposition :
| x | − | 1749 28090 | x | = | 389333 50 |
Combine the items on the left of the equation:
497 530 | x | = | 389333 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 389333 50 | ÷ | 497 530 |
| = | 389333 50 | × | 530 497 |
| = | 55619 5 | × | 53 71 |
We obtained :
| x | = | 2947807 355 |
Convert the result to decimal form :
| x | = | 8303.68169 |