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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 1.845 = 5-2*3.3*（1+x）(1-0.768/2.613)*(1.845/2.613) .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right 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 1.845 = 5-2*3.3*（1+x）(1-0.768/2.613)*(1.845/2.613) .
Question type: Equation
Solution:Original question:
369 200 | = | 5 | − | 2 | × | 33 10 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| Right side of the equation = | 5 | − | 33 5 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
369 200 | = | 5 | − | 33 5 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| Right side of the equation = | 5 | − | 33 5 | × | 1 | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 5 | − | 33 5 | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 5 | − | 33 5 | × | 1 | ( | 369 200 | ÷ | 2613 1000 | ) | + | 33 5 | × | 96 125 | ÷ | 2613 1000 | × | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 5 | − | 33 5 | ( | 369 200 | ÷ | 2613 1000 | ) | + | 8448 4355 | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 5 | − | 33 5 | × | 369 200 | ÷ | 2613 1000 | + | 8448 4355 | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 5 | − | 4059 871 | + | 8448 4355 | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 296 871 | + | 8448 4355 | ( | 369 200 | ÷ | 2613 1000 | ) | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 296 871 | + | 8448 4355 | × | 369 200 | ÷ | 2613 1000 | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 296 871 | + | 1039104 758641 | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 33 5 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 33 5 | x | × | 1 | ( | 369 200 | ÷ | 2613 1000 | ) | + | 33 5 | x | × | 96 125 | ÷ | 2613 1000 | × | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 33 5 | x | ( | 369 200 | ÷ | 2613 1000 | ) | + | 8448 4355 | x | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 33 5 | x | × | 369 200 | ÷ | 2613 1000 | + | 8448 4355 | x | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 4059 871 | x | + | 8448 4355 | x | ( | 369 200 | ÷ | 2613 1000 | ) |
| = | 1296920 758641 | − | 4059 871 | x | + | 8448 4355 | x | × | 369 200 | ÷ | 2613 1000 |
| = | 1296920 758641 | − | 4059 871 | x | + | 1039104 758641 | x |
| = | 1296920 758641 | − | 2496285 758641 | x |
369 200 | = | 1296920 758641 | − | 2496285 758641 | x |
Transposition :
2496285 758641 | x | = | 1296920 758641 | − | 369 200 |
Combine the items on the right of the equation:
2496285 758641 | x | = | - | 20554529 151728200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 20554529 151728200 | ÷ | 2496285 758641 |
| = | - | 20554529 151728200 | × | 758641 2496285 |
| = | - | 20554529 200 | × | 1 2496285 |
We obtained :
| x | = | - | 20554529 499257000 |
Convert the result to decimal form :
| x | = | - 0.04117 |