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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 1447*3*（1+16x/（x+2000））*0.7 = 30000 .
Question type: Equation
Solution:Original question:
| 1447 | × | 3 | ( | 1 | + | 16 | x | ÷ | ( | x | + | 2000 | ) | ) | × | 7 10 | = | 30000 |
| 1447 | × | 3 | × | 1 | × | 7 10 | + | 1447 | × | 3 | × | 16 | x | ÷ | ( | x | + | 2000 | ) | × | 7 10 | = | 30000 |
30387 10 | + | 243096 5 | x | ÷ | ( | x | + | 2000 | ) | = | 30000 |
| Multiply both sides of the equation by: | ( | x | + | 2000 | ) |
30387 10 | ( | x | + | 2000 | ) | + | 243096 5 | x | = | 30000 | ( | x | + | 2000 | ) |
30387 10 | x | + | 30387 10 | × | 2000 | + | 243096 5 | x | = | 30000 | ( | x | + | 2000 | ) |
30387 10 | x | + | 30387 10 | × | 2000 | + | 243096 5 | x | = | 30000 | x | + | 30000 | × | 2000 |
30387 10 | x | + | 6077400 | + | 243096 5 | x | = | 30000 | x | + | 60000000 |
516579 10 | x | + | 6077400 | = | 30000 | x | + | 60000000 |
Transposition :
516579 10 | x | − | 30000 | x | = | 60000000 | − | 6077400 |
Combine the items on the left of the equation:
216579 10 | x | = | 60000000 | − | 6077400 |
Combine the items on the right of the equation:
216579 10 | x | = | 53922600 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 53922600 | ÷ | 216579 10 |
| = | 53922600 | × | 10 216579 |
| = | 17974200 | × | 10 72193 |
We obtained :
| x | = | 179742000 72193 |
Convert the result to decimal form :
| x | = | 2489.742773 |