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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-0.08)/0.02 = （1250-1295.844)/（1197.976-1295.844) .
Question type: Equation
Solution:Original question:
| ( | x | − | 2 25 | ) | ÷ | 1 50 | = | ( | 1250 | − | 323961 250 | ) | ÷ | ( | 149747 125 | − | 323961 250 | ) |
| Multiply both sides of the equation by: | ( | 149747 125 | − | 323961 250 | ) |
| ( | x | − | 2 25 | ) | ÷ | 1 50 | × | ( | 149747 125 | − | 323961 250 | ) | = | ( | 1250 | − | 323961 250 | ) |
| x | ÷ | 1 50 | × | ( | 149747 125 | − | 323961 250 | ) | − | 2 25 | ÷ | 1 50 | × | ( | 149747 125 | − | 323961 250 | ) | = | ( | 1250 | − | 323961 250 | ) |
| x | ÷ | 1 50 | × | ( | 149747 125 | − | 323961 250 | ) | − | 2 25 | ÷ | 1 50 | × | ( | 149747 125 | − | 323961 250 | ) | = | 1250 | − | 323961 250 |
| x | × | 50 | ( | 149747 125 | − | 323961 250 | ) | − | 4 | ( | 149747 125 | − | 323961 250 | ) | = | 1250 | − | 323961 250 |
| x | × | 50 | ( | 149747 125 | − | 323961 250 | ) | − | 4 | ( | 149747 125 | − | 323961 250 | ) | = | - | 11461 250 |
| x | × | 50 | × | 149747 125 | − | x | × | 50 | × | 323961 250 | − | 4 | ( | 149747 125 | − | 323961 250 | ) | = | - | 11461 250 |
| x | × | 299494 5 | − | x | × | 323961 5 | − | 4 | ( | 149747 125 | − | 323961 250 | ) | = | - | 11461 250 |
| - | 24467 5 | x | − | 4 | ( | 149747 125 | − | 323961 250 | ) | = | - | 11461 250 |
| - | 24467 5 | x | − | 4 | × | 149747 125 | + | 4 | × | 323961 250 | = | - | 11461 250 |
| - | 24467 5 | x | − | 598988 125 | + | 647922 125 | = | - | 11461 250 |
| - | 24467 5 | x | + | 48934 125 | = | - | 11461 250 |
Transposition :
| - | 24467 5 | x | = | - | 11461 250 | − | 48934 125 |
Combine the items on the right of the equation:
| - | 24467 5 | x | = | - | 109329 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
109329 250 | = | 24467 5 | 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 :
24467 5 | x | = | 109329 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 109329 250 | ÷ | 24467 5 |
| = | 109329 250 | × | 5 24467 |
| = | 109329 50 | × | 1 24467 |
We obtained :
| x | = | 109329 1223350 |
Convert the result to decimal form :
| x | = | 0.089369 |