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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 (35%×(X+X/7%)+65%×(1000+2X))/1.058 = 0 .
Question type: Equation
Solution:Original question:
| ( | 35 100 | ( | X | + | X | ÷ | 7 100 | ) | + | 65 100 | ( | 1000 | + | 2 | X | ) | ) | ÷ | 529 500 | = | 0 |
| Left side of the equation = | 35 100 | ( | X | + | X | ÷ | 7 100 | ) | × | 500 529 | + | 65 100 | ( | 1000 | + | 2 | X | ) | × | 500 529 |
| = | 175 529 | ( | X | + | X | ÷ | 7 100 | ) | + | 325 529 | ( | 1000 | + | 2 | X | ) |
| = | 175 529 | X | + | 175 529 | X | ÷ | 7 100 | + | 325 529 | ( | 1000 | + | 2 | X | ) |
| = | 175 529 | X | + | 2500 529 | X | + | 325 529 | ( | 1000 | + | 2 | X | ) |
| = | 2675 529 | X | + | 325 529 | ( | 1000 | + | 2 | X | ) |
| = | 2675 529 | X | + | 325 529 | × | 1000 | + | 325 529 | × | 2 | X |
| = | 2675 529 | X | + | 325000 529 | + | 650 529 | X |
| = | 3325 529 | X | + | 325000 529 |
3325 529 | X | + | 325000 529 | = | 0 |
Transposition :
3325 529 | X | = | 0 | − | 325000 529 |
Combine the items on the right of the equation:
3325 529 | X | = | - | 325000 529 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 325000 529 | ÷ | 3325 529 |
| = | - | 325000 529 | × | 529 3325 |
| = | - | 13000 | × | 1 133 |
We obtained :
| X | = | - | 13000 133 |
Convert the result to decimal form :
| X | = | - 97.744361 |