Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 301870.91-120000-X = （25984.14-X/1.01*0.01-3495.15)*1.12 .
Question type: Equation
Solution:Original question:
30187091 100 | − | 120000 | − | X | = | ( | 1299207 50 | − | X | ÷ | 101 100 | × | 1 100 | − | 69903 20 | ) | × | 28 25 |
| Left side of the equation = | 18187091 100 | − | X |
18187091 100 | − | X | = | ( | 1299207 50 | − | X | ÷ | 101 100 | × | 1 100 | − | 69903 20 | ) | × | 28 25 |
| Right side of the equation = | 1299207 50 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 | − | 69903 20 | × | 28 25 |
| = | 18188898 625 | − | X | × | 28 2525 | − | 489321 125 |
| = | 15742293 625 | − | 28 2525 | X |
18187091 100 | − | X | = | 15742293 625 | − | 28 2525 | X |
Transposition :
| - | X | + | 28 2525 | X | = | 15742293 625 | − | 18187091 100 |
Combine the items on the left of the equation:
| - | 2497 2525 | X | = | 15742293 625 | − | 18187091 100 |
Combine the items on the right of the equation:
| - | 2497 2525 | X | = | - | 391708103 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
391708103 2500 | = | 2497 2525 | 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 :
2497 2525 | X | = | 391708103 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 391708103 2500 | ÷ | 2497 2525 |
| = | 391708103 2500 | × | 2525 2497 |
| = | 391708103 100 | × | 101 2497 |
We obtained :
| X | = | 39562518403 249700 |