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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 （26.293+x）×2.75 = 26.293+70.778-x .
Question type: Equation
Solution:Original question:
| ( | 26293 1000 | + | x | ) | × | 11 4 | = | 26293 1000 | + | 35389 500 | − | x |
| Left side of the equation = | 26293 1000 | × | 11 4 | + | x | × | 11 4 |
| = | 289223 4000 | + | x | × | 11 4 |
289223 4000 | + | 11 4 | x | = | 26293 1000 | + | 35389 500 | − | x |
| Right side of the equation = | 97071 1000 | − | x |
289223 4000 | + | 11 4 | x | = | 97071 1000 | − | x |
Transposition :
11 4 | x | + | x | = | 97071 1000 | − | 289223 4000 |
Combine the items on the left of the equation:
15 4 | x | = | 97071 1000 | − | 289223 4000 |
Combine the items on the right of the equation:
15 4 | x | = | 99061 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 99061 4000 | ÷ | 15 4 |
| = | 99061 4000 | × | 4 15 |
| = | 99061 1000 | × | 1 15 |
We obtained :
| x | = | 99061 15000 |
Convert the result to decimal form :
| x | = | 6.604067 |