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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 (1-0.87)*(2.11-x)/3.71+0.87*(0.026-x)/1.626 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 87 100 | ) | ( | 211 100 | − | x | ) | ÷ | 371 100 | + | 87 100 | ( | 13 500 | − | x | ) | ÷ | 813 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 87 100 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 145 271 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 87 100 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 145 271 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 211 100 | − | x | ) | × | 100 371 | − | 87 100 | ( | 211 100 | − | x | ) | × | 100 371 | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 100 371 | ( | 211 100 | − | x | ) | − | 87 371 | ( | 211 100 | − | x | ) | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 100 371 | × | 211 100 | − | 100 371 | x | − | 87 371 | ( | 211 100 | − | x | ) | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 87 371 | ( | 211 100 | − | x | ) | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 87 371 | × | 211 100 | + | 87 371 | x | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 18357 37100 | + | 87 371 | x | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 2743 37100 | − | 13 371 | x | + | 145 271 | ( | 13 500 | − | x | ) |
| = | 2743 37100 | − | 13 371 | x | + | 145 271 | × | 13 500 | − | 145 271 | x |
| = | 2743 37100 | − | 13 371 | x | + | 377 27100 | − | 145 271 | x |
| = | 44161 502705 | − | 57318 100541 | x |
44161 502705 | − | 57318 100541 | x | = | 0 |
Transposition :
| - | 57318 100541 | x | = | 0 | − | 44161 502705 |
Combine the items on the right of the equation:
| - | 57318 100541 | x | = | - | 44161 502705 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
44161 502705 | = | 57318 100541 | 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 :
57318 100541 | x | = | 44161 502705 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 44161 502705 | ÷ | 57318 100541 |
| = | 44161 502705 | × | 100541 57318 |
| = | 44161 1355 | × | 271 57318 |
We obtained :
| x | = | 11967631 77665890 |
By reducing fraction, we can get:
| x | = | 44161 286590 |
Convert the result to decimal form :
| x | = | 0.154091 |