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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）×0.85 = 39.402+68.604-x .
Question type: Equation
Solution:Original question:
| ( | 19701 500 | + | x | ) | × | 17 20 | = | 19701 500 | + | 17151 250 | − | x |
| Left side of the equation = | 19701 500 | × | 17 20 | + | x | × | 17 20 |
| = | 334917 10000 | + | x | × | 17 20 |
334917 10000 | + | 17 20 | x | = | 19701 500 | + | 17151 250 | − | x |
| Right side of the equation = | 54003 500 | − | x |
334917 10000 | + | 17 20 | x | = | 54003 500 | − | x |
Transposition :
17 20 | x | + | x | = | 54003 500 | − | 334917 10000 |
Combine the items on the left of the equation:
37 20 | x | = | 54003 500 | − | 334917 10000 |
Combine the items on the right of the equation:
37 20 | x | = | 745143 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 745143 10000 | ÷ | 37 20 |
| = | 745143 10000 | × | 20 37 |
| = | 20139 500 | × | 1 |
We obtained :
| x | = | 20139 500 |
Convert the result to decimal form :
| x | = | 40.278 |