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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 （40.221+x）×1.75 = 40.221+71.242-x .
Question type: Equation
Solution:Original question:
| ( | 40221 1000 | + | x | ) | × | 7 4 | = | 40221 1000 | + | 35621 500 | − | x |
| Left side of the equation = | 40221 1000 | × | 7 4 | + | x | × | 7 4 |
| = | 281547 4000 | + | x | × | 7 4 |
281547 4000 | + | 7 4 | x | = | 40221 1000 | + | 35621 500 | − | x |
| Right side of the equation = | 111463 1000 | − | x |
281547 4000 | + | 7 4 | x | = | 111463 1000 | − | x |
Transposition :
7 4 | x | + | x | = | 111463 1000 | − | 281547 4000 |
Combine the items on the left of the equation:
11 4 | x | = | 111463 1000 | − | 281547 4000 |
Combine the items on the right of the equation:
11 4 | x | = | 32861 800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 32861 800 | ÷ | 11 4 |
| = | 32861 800 | × | 4 11 |
| = | 32861 200 | × | 1 11 |
We obtained :
| x | = | 32861 2200 |
Convert the result to decimal form :
| x | = | 14.936818 |