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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 （25.759+x）×2.55 = 51.519+69.578-x .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 （25.759+x）×2.55 = 51.519+69.578-x .
Question type: Equation
Solution:Original question:
| ( | 25759 1000 | + | x | ) | × | 51 20 | = | 51519 1000 | + | 34789 500 | − | x |
| Left side of the equation = | 25759 1000 | × | 51 20 | + | x | × | 51 20 |
| = | 1313709 20000 | + | x | × | 51 20 |
1313709 20000 | + | 51 20 | x | = | 51519 1000 | + | 34789 500 | − | x |
| Right side of the equation = | 121097 1000 | − | x |
1313709 20000 | + | 51 20 | x | = | 121097 1000 | − | x |
Transposition :
51 20 | x | + | x | = | 121097 1000 | − | 1313709 20000 |
Combine the items on the left of the equation:
71 20 | x | = | 121097 1000 | − | 1313709 20000 |
Combine the items on the right of the equation:
71 20 | x | = | 1108231 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1108231 20000 | ÷ | 71 20 |
| = | 1108231 20000 | × | 20 71 |
| = | 1108231 1000 | × | 1 71 |
We obtained :
| x | = | 1108231 71000 |
Convert the result to decimal form :
| x | = | 15.608887 |