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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 （41.183+x）×1.75 = 41.183+75.166-x .
Question type: Equation
Solution:Original question:
| ( | 41183 1000 | + | x | ) | × | 7 4 | = | 41183 1000 | + | 37583 500 | − | x |
| Left side of the equation = | 41183 1000 | × | 7 4 | + | x | × | 7 4 |
| = | 288281 4000 | + | x | × | 7 4 |
288281 4000 | + | 7 4 | x | = | 41183 1000 | + | 37583 500 | − | x |
| Right side of the equation = | 116349 1000 | − | x |
288281 4000 | + | 7 4 | x | = | 116349 1000 | − | x |
Transposition :
7 4 | x | + | x | = | 116349 1000 | − | 288281 4000 |
Combine the items on the left of the equation:
11 4 | x | = | 116349 1000 | − | 288281 4000 |
Combine the items on the right of the equation:
11 4 | x | = | 35423 800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 35423 800 | ÷ | 11 4 |
| = | 35423 800 | × | 4 11 |
| = | 35423 200 | × | 1 11 |
We obtained :
| x | = | 35423 2200 |
Convert the result to decimal form :
| x | = | 16.101364 |