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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 435.5/30*x+150/30*(x+15)+90/30*(x+30) = 1498 .
Question type: Equation
Solution:Original question:
871 2 | ÷ | 30 | × | x | + | 150 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 90 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 1498 |
| Left side of the equation = | 871 60 | x | + | 5 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
871 60 | x | + | 5 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1498 |
| Left side of the equation = | 871 60 | x | + | 5 | x | + | 5 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 871 60 | x | + | 5 | x | + | 75 | + | 3 | ( | x | + | 30 | ) |
| = | 1171 60 | x | + | 75 | + | 3 | ( | x | + | 30 | ) |
| = | 1171 60 | x | + | 75 | + | 3 | x | + | 3 | × | 30 |
| = | 1171 60 | x | + | 75 | + | 3 | x | + | 90 |
| = | 1351 60 | x | + | 165 |
1351 60 | x | + | 165 | = | 1498 |
Transposition :
1351 60 | x | = | 1498 | − | 165 |
Combine the items on the right of the equation:
1351 60 | x | = | 1333 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1333 | ÷ | 1351 60 |
| = | 1333 | × | 60 1351 |
We obtained :
| x | = | 79980 1351 |
Convert the result to decimal form :
| x | = | 59.200592 |