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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 x÷105.99+(0.3085-x)÷40 = 42×0.001×0.15 .
Question type: Equation
Solution:Original question:
| x | ÷ | 10599 100 | + | ( | 617 2000 | − | x | ) | ÷ | 40 | = | 42 | × | 1 1000 | × | 3 20 |
| Left side of the equation = | 100 10599 | x | + | 617 2000 | × | 1 40 | − | x | × | 1 40 |
| = | 100 10599 | x | + | 617 80000 | − | x | × | 1 40 |
| = | - | 6599 423960 | x | + | 617 80000 |
| - | 6599 423960 | x | + | 617 80000 | = | 42 | × | 1 1000 | × | 3 20 |
| Right side of the equation = | 63 10000 |
| - | 6599 423960 | x | + | 617 80000 | = | 63 10000 |
Transposition :
| - | 6599 423960 | x | = | 63 10000 | − | 617 80000 |
Combine the items on the right of the equation:
| - | 6599 423960 | x | = | - | 113 80000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
113 80000 | = | 6599 423960 | 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 :
6599 423960 | x | = | 113 80000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 113 80000 | ÷ | 6599 423960 |
| = | 113 80000 | × | 423960 6599 |
| = | 113 2000 | × | 10599 6599 |
We obtained :
| x | = | 1197687 13198000 |
Convert the result to decimal form :
| x | = | 0.090748 |