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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 （x+700）/21.75*5-4494*0.105 = 1952.16 .
Question type: Equation
Solution:Original question:
| ( | x | + | 700 | ) | ÷ | 87 4 | × | 5 | − | 4494 | × | 21 200 | = | 48804 25 |
| Left side of the equation = | ( | x | + | 700 | ) | × | 20 87 | − | 47187 100 |
| ( | x | + | 700 | ) | × | 20 87 | − | 47187 100 | = | 48804 25 |
| Left side of the equation = | x | × | 20 87 | + | 700 | × | 20 87 | − | 47187 100 |
| = | x | × | 20 87 | + | 14000 87 | − | 47187 100 |
| = | 20 87 | x | − | 2705269 8700 |
20 87 | x | − | 2705269 8700 | = | 48804 25 |
Transposition :
20 87 | x | = | 48804 25 | + | 2705269 8700 |
Combine the items on the right of the equation:
20 87 | x | = | 19689061 8700 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 19689061 8700 | ÷ | 20 87 |
| = | 19689061 8700 | × | 87 20 |
| = | 19689061 100 | × | 1 20 |
We obtained :
| x | = | 19689061 2000 |
Convert the result to decimal form :
| x | = | 9844.5305 |