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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 0.231x = 0.2015（666.6-x） .
Question type: Equation
Solution:Original question:
231 1000 | x | = | 403 2000 | ( | 3333 5 | − | x | ) |
| Right side of the equation = | 403 2000 | × | 3333 5 | − | 403 2000 | x |
| = | 1343199 10000 | − | 403 2000 | x |
231 1000 | x | = | 1343199 10000 | − | 403 2000 | x |
Transposition :
231 1000 | x | + | 403 2000 | x | = | 1343199 10000 |
Combine the items on the left of the equation:
173 400 | x | = | 1343199 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1343199 10000 | ÷ | 173 400 |
| = | 1343199 10000 | × | 400 173 |
| = | 1343199 25 | × | 1 173 |
We obtained :
| x | = | 1343199 4325 |
Convert the result to decimal form :
| x | = | 310.566243 |