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Resolving prime factor：
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Current location：Mathematical operation > Decomposition prime factor history > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (18500*12.387+8.44*X)/(18500+X) = 10 .
Question type: Equation
Solution:Original question:
| ( | 18500 | × | 12387 1000 | + | 211 25 | X | ) | ÷ | ( | 18500 | + | X | ) | = | 10 |
| Multiply both sides of the equation by: | ( | 18500 | + | X | ) |
| ( | 18500 | × | 12387 1000 | + | 211 25 | X | ) | = | 10 | ( | 18500 | + | X | ) |
| 18500 | × | 12387 1000 | + | 211 25 | X | = | 10 | ( | 18500 | + | X | ) |
| 18500 | × | 12387 1000 | + | 211 25 | X | = | 10 | × | 18500 | + | 10 | X |
458319 2 | + | 211 25 | X | = | 185000 | + | 10 | X |
Transposition :
211 25 | X | − | 10 | X | = | 185000 | − | 458319 2 |
Combine the items on the left of the equation:
| - | 39 25 | X | = | 185000 | − | 458319 2 |
Combine the items on the right of the equation:
| - | 39 25 | X | = | - | 88319 2 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
88319 2 | = | 39 25 | 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 :
39 25 | X | = | 88319 2 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 88319 2 | ÷ | 39 25 |
| = | 88319 2 | × | 25 39 |
We obtained :
| X | = | 2207975 78 |
Convert the result to decimal form :
| X | = | 28307.371795 |