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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 345/30*x+140.5/30*(x+15)+90/30*(x+30) = 1413 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 345/30*x+140.5/30*(x+15)+90/30*(x+30) = 1413 .
Question type: Equation
Solution:Original question:
| 345 | ÷ | 30 | × | x | + | 281 2 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 90 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 1413 |
| Left side of the equation = | 23 2 | x | + | 281 60 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
23 2 | x | + | 281 60 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1413 |
| Left side of the equation = | 23 2 | x | + | 281 60 | x | + | 281 60 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 23 2 | x | + | 281 60 | x | + | 281 4 | + | 3 | ( | x | + | 30 | ) |
| = | 971 60 | x | + | 281 4 | + | 3 | ( | x | + | 30 | ) |
| = | 971 60 | x | + | 281 4 | + | 3 | x | + | 3 | × | 30 |
| = | 971 60 | x | + | 281 4 | + | 3 | x | + | 90 |
| = | 1151 60 | x | + | 641 4 |
1151 60 | x | + | 641 4 | = | 1413 |
Transposition :
1151 60 | x | = | 1413 | − | 641 4 |
Combine the items on the right of the equation:
1151 60 | x | = | 5011 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5011 4 | ÷ | 1151 60 |
| = | 5011 4 | × | 60 1151 |
| = | 5011 | × | 15 1151 |
We obtained :
| x | = | 75165 1151 |
Convert the result to decimal form :
| x | = | 65.304083 |