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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 16118.4%*(1.75-0.98DEF) = 6117.6%*(1.75+0.28DEF) .
Question type: Equation
Solution:Original question:
80592 500 | ( | 7 4 | − | 49 50 | D | ) | = | 30588 500 | ( | 7 4 | + | 7 25 | D | ) |
| Left side of the equation = | 80592 500 | × | 7 4 | − | 80592 500 | × | 49 50 | D |
| = | 35259 125 | − | 493626 3125 | D |
35259 125 | − | 493626 3125 | D | = | 30588 500 | ( | 7 4 | + | 7 25 | D | ) |
| Right side of the equation = | 30588 500 | × | 7 4 | + | 30588 500 | × | 7 25 | D |
| = | 53529 500 | + | 53529 3125 | D |
35259 125 | − | 493626 3125 | D | = | 53529 500 | + | 53529 3125 | D |
Transposition :
| - | 493626 3125 | D | − | 53529 3125 | D | = | 53529 500 | − | 35259 125 |
Combine the items on the left of the equation:
| - | 109431 625 | D | = | 53529 500 | − | 35259 125 |
Combine the items on the right of the equation:
| - | 109431 625 | D | = | - | 87507 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
87507 500 | = | 109431 625 | D |
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 :
109431 625 | D | = | 87507 500 |
The coefficient of the unknown number is reduced to 1 :
| D | = | 87507 500 | ÷ | 109431 625 |
| = | 87507 500 | × | 625 109431 |
| = | 463 4 | × | 5 579 |
We obtained :
| D | = | 2315 2316 |
Convert the result to decimal form :
| D | = | 0.999568 |