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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 42x/（10.5×0.3）+36.7 = 74.5x .
Question type: Equation
Solution:Original question:
| 42 | x | ÷ | ( | 21 2 | × | 3 10 | ) | + | 367 10 | = | 149 2 | x |
| Multiply both sides of the equation by: | ( | 21 2 | × | 3 10 | ) |
| 42 | x | + | 367 10 | ( | 21 2 | × | 3 10 | ) | = | 149 2 | x | ( | 21 2 | × | 3 10 | ) |
| 42 | x | + | 367 10 | × | 21 2 | × | 3 10 | = | 149 2 | x | ( | 21 2 | × | 3 10 | ) |
| 42 | x | + | 367 10 | × | 21 2 | × | 3 10 | = | 149 2 | x | × | 21 2 | × | 3 10 |
| 42 | x | + | 23121 200 | = | 9387 40 | x |
Transposition :
| 42 | x | − | 9387 40 | x | = | - | 23121 200 |
Combine the items on the left of the equation:
| - | 7707 40 | x | = | - | 23121 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
23121 200 | = | 7707 40 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
7707 40 | x | = | 23121 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 23121 200 | ÷ | 7707 40 |
| = | 23121 200 | × | 40 7707 |
| = | 1101 5 | × | 1 367 |
We obtained :
| x | = | 1101 1835 |
Convert the result to decimal form :
| x | = | 0.6 |