Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
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 (7148497.50+X)*0.2/1.05*0.05 = X .
Question type: Equation
Solution:Original question:
| ( | 14296995 2 | + | X | ) | × | 1 5 | ÷ | 21 20 | × | 1 20 | = | X |
| Left side of the equation = | ( | 14296995 2 | + | X | ) | × | 1 105 |
| ( | 14296995 2 | + | X | ) | × | 1 105 | = | X |
| Left side of the equation = | 14296995 2 | × | 1 105 | + | X | × | 1 105 |
| = | 953133 14 | + | X | × | 1 105 |
953133 14 | + | 1 105 | X | = | X |
Transposition :
1 105 | X | − | X | = | - | 953133 14 |
Combine the items on the left of the equation:
| - | 104 105 | X | = | - | 953133 14 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
953133 14 | = | 104 105 | 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 :
104 105 | X | = | 953133 14 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 953133 14 | ÷ | 104 105 |
| = | 953133 14 | × | 105 104 |
| = | 953133 2 | × | 15 104 |
We obtained :
| X | = | 14296995 208 |
Convert the result to decimal form :
| X | = | 68735.552885 |