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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 （39.402+x）×2.2 = 39.402+70.604-x .
Question type: Equation
Solution:Original question:
| ( | 19701 500 | + | x | ) | × | 11 5 | = | 19701 500 | + | 17651 250 | − | x |
| Left side of the equation = | 19701 500 | × | 11 5 | + | x | × | 11 5 |
| = | 216711 2500 | + | x | × | 11 5 |
216711 2500 | + | 11 5 | x | = | 19701 500 | + | 17651 250 | − | x |
| Right side of the equation = | 55003 500 | − | x |
216711 2500 | + | 11 5 | x | = | 55003 500 | − | x |
Transposition :
11 5 | x | + | x | = | 55003 500 | − | 216711 2500 |
Combine the items on the left of the equation:
16 5 | x | = | 55003 500 | − | 216711 2500 |
Combine the items on the right of the equation:
16 5 | x | = | 14576 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14576 625 | ÷ | 16 5 |
| = | 14576 625 | × | 5 16 |
| = | 911 125 | × | 1 |
We obtained :
| x | = | 911 125 |
Convert the result to decimal form :
| x | = | 7.288 |