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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×40.19%+289)×(1+67.5%) = 2000 .
Question type: Equation
Solution:Original question:
| ( | x | × | 4019 10000 | + | 289 | ) | ( | 1 | + | 135 200 | ) | = | 2000 |
| Left side of the equation = | x | × | 4019 10000 | ( | 1 | + | 135 200 | ) | + | 289 | ( | 1 | + | 135 200 | ) |
| = | x | × | 4019 10000 | × | 1 | + | x | × | 4019 10000 | × | 135 200 | + | 289 | ( | 1 | + | 135 200 | ) |
| = | x | × | 4019 10000 | + | x | × | 108513 400000 | + | 289 | ( | 1 | + | 135 200 | ) |
| = | 269273 400000 | x | + | 289 | ( | 1 | + | 135 200 | ) |
| = | 269273 400000 | x | + | 289 | × | 1 | + | 289 | × | 135 200 |
| = | 269273 400000 | x | + | 289 | + | 7803 40 |
| = | 269273 400000 | x | + | 19363 40 |
269273 400000 | x | + | 19363 40 | = | 2000 |
Transposition :
269273 400000 | x | = | 2000 | − | 19363 40 |
Combine the items on the right of the equation:
269273 400000 | x | = | 60637 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 60637 40 | ÷ | 269273 400000 |
| = | 60637 40 | × | 400000 269273 |
| = | 60637 | × | 10000 269273 |
We obtained :
| x | = | 606370000 269273 |
Convert the result to decimal form :
| x | = | 2251.878205 |