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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 10000/158+15000/(x+101*0.16) = 150 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
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 10000/158+15000/(x+101*0.16) = 150 .
Question type: Equation
Solution:Original question:
| 10000 | ÷ | 158 | + | 15000 | ÷ | ( | x | + | 101 | × | 4 25 | ) | = | 150 |
| Multiply both sides of the equation by: | ( | x | + | 101 | × | 4 25 | ) |
| 10000 | ÷ | 158 | × | ( | x | + | 101 | × | 4 25 | ) | + | 15000 | = | 150 | ( | x | + | 101 | × | 4 25 | ) |
| 10000 | ÷ | 158 | × | x | + | 10000 | ÷ | 158 | × | 101 | × | 4 25 | + | 15000 | = | 150 | ( | x | + | 101 | × | 4 25 | ) |
| 10000 | ÷ | 158 | × | x | + | 10000 | ÷ | 158 | × | 101 | × | 4 25 | + | 15000 | = | 150 | x | + | 150 | × | 101 | × | 4 25 |
5000 79 | x | + | 80800 79 | + | 15000 | = | 150 | x | + | 2424 |
5000 79 | x | + | 1265800 79 | = | 150 | x | + | 2424 |
Transposition :
5000 79 | x | − | 150 | x | = | 2424 | − | 1265800 79 |
Combine the items on the left of the equation:
| - | 6850 79 | x | = | 2424 | − | 1265800 79 |
Combine the items on the right of the equation:
| - | 6850 79 | x | = | - | 1074304 79 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1074304 79 | = | 6850 79 | x |
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 :
6850 79 | x | = | 1074304 79 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1074304 79 | ÷ | 6850 79 |
| = | 1074304 79 | × | 79 6850 |
| = | 537152 | × | 1 3425 |
We obtained :
| x | = | 537152 3425 |
Convert the result to decimal form :
| x | = | 156.832701 |