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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 （542+x）*34.9%+311+（542+x）+236 = 1455 .
Question type: Equation
Solution:Original question:
| ( | 542 | + | x | ) | × | 349 1000 | + | 311 | + | ( | 542 | + | x | ) | + | 236 | = | 1455 |
| Left side of the equation = | ( | 542 | + | x | ) | × | 349 1000 | + | 547 | + | ( | 542 | + | x | ) |
| ( | 542 | + | x | ) | × | 349 1000 | + | 547 | + | ( | 542 | + | x | ) | = | 1455 |
| Left side of the equation = | 542 | × | 349 1000 | + | x | × | 349 1000 | + | 547 | + | ( | 542 | + | x | ) |
| = | 94579 500 | + | x | × | 349 1000 | + | 547 | + | ( | 542 | + | x | ) |
| = | 368079 500 | + | 349 1000 | x | + | ( | 542 | + | x | ) |
| = | 368079 500 | + | 349 1000 | x | + | 542 | + | x |
| = | 639079 500 | + | 1349 1000 | x |
639079 500 | + | 1349 1000 | x | = | 1455 |
Transposition :
1349 1000 | x | = | 1455 | − | 639079 500 |
Combine the items on the right of the equation:
1349 1000 | x | = | 88421 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 88421 500 | ÷ | 1349 1000 |
| = | 88421 500 | × | 1000 1349 |
| = | 88421 | × | 2 1349 |
We obtained :
| x | = | 176842 1349 |
Convert the result to decimal form :
| x | = | 131.091179 |