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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 4.7(6.9x+6.7)-60.285 = 8.9x+6.5 .
Question type: Equation
Solution:Original question:
47 10 | ( | 69 10 | x | + | 67 10 | ) | − | 12057 200 | = | 89 10 | x | + | 13 2 |
| Left side of the equation = | 47 10 | × | 69 10 | x | + | 47 10 | × | 67 10 | − | 12057 200 |
| = | 3243 100 | x | + | 3149 100 | − | 12057 200 |
| = | 3243 100 | x | − | 5759 200 |
3243 100 | x | − | 5759 200 | = | 89 10 | x | + | 13 2 |
Transposition :
3243 100 | x | − | 89 10 | x | = | 13 2 | + | 5759 200 |
Combine the items on the left of the equation:
2353 100 | x | = | 13 2 | + | 5759 200 |
Combine the items on the right of the equation:
2353 100 | x | = | 7059 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7059 200 | ÷ | 2353 100 |
| = | 7059 200 | × | 100 2353 |
| = | 543 2 | × | 1 181 |
We obtained :
| x | = | 543 362 |
By reducing fraction, we can get:
| x | = | 3 2 |
Convert the result to decimal form :
| x | = | 1.5 |