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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 [(66377.62+a+843+8000)-45000-7587]*3% = 589.02+a .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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 [(66377.62+a+843+8000)-45000-7587]*3% = 589.02+a .
Question type: Equation
Solution:Original question:
| ( | ( | 3318881 50 | + | a | + | 843 | + | 8000 | ) | − | 45000 | − | 7587 | ) | × | 3 100 | = | 29451 50 | + | a |
| Left side of the equation = | ( | 3318881 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 45000 | × | 3 100 | − | 7587 | × | 3 100 |
| = | ( | 3318881 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 1350 | − | 22761 100 |
| = | ( | 3318881 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 157761 100 |
| = | 3318881 50 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 157761 100 |
| = | 9956643 5000 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 157761 100 |
| = | 3395043 5000 | + | 3 100 | a |
3395043 5000 | + | 3 100 | a | = | 29451 50 | + | a |
Transposition :
3 100 | a | − | a | = | 29451 50 | − | 3395043 5000 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 29451 50 | − | 3395043 5000 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 449943 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
449943 5000 | = | 97 100 | a |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
97 100 | a | = | 449943 5000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 449943 5000 | ÷ | 97 100 |
| = | 449943 5000 | × | 100 97 |
| = | 449943 50 | × | 1 97 |
We obtained :
| a | = | 449943 4850 |
Convert the result to decimal form :
| a | = | 92.771753 |