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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 (x×43.19%+289)×(1+67.5%) = 2000 .
Question type: Equation
Solution:Original question:
| ( | x | × | 4319 10000 | + | 289 | ) | ( | 1 | + | 135 200 | ) | = | 2000 |
| Left side of the equation = | x | × | 4319 10000 | ( | 1 | + | 135 200 | ) | + | 289 | ( | 1 | + | 135 200 | ) |
| = | x | × | 4319 10000 | × | 1 | + | x | × | 4319 10000 | × | 135 200 | + | 289 | ( | 1 | + | 135 200 | ) |
| = | x | × | 4319 10000 | + | x | × | 116613 400000 | + | 289 | ( | 1 | + | 135 200 | ) |
| = | 289373 400000 | x | + | 289 | ( | 1 | + | 135 200 | ) |
| = | 289373 400000 | x | + | 289 | × | 1 | + | 289 | × | 135 200 |
| = | 289373 400000 | x | + | 289 | + | 7803 40 |
| = | 289373 400000 | x | + | 19363 40 |
289373 400000 | x | + | 19363 40 | = | 2000 |
Transposition :
289373 400000 | x | = | 2000 | − | 19363 40 |
Combine the items on the right of the equation:
289373 400000 | x | = | 60637 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 60637 40 | ÷ | 289373 400000 |
| = | 60637 40 | × | 400000 289373 |
| = | 60637 | × | 10000 289373 |
We obtained :
| x | = | 606370000 289373 |
Convert the result to decimal form :
| x | = | 2095.461567 |