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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 = (0.6x-5)*0.03+(0.6x-5)*0.97*0.2+180+0.4x .
Question type: Equation
Solution:Original question:
| x | = | ( | 3 5 | x | − | 5 | ) | × | 3 100 | + | ( | 3 5 | x | − | 5 | ) | × | 97 100 | × | 1 5 | + | 180 | + | 2 5 | x |
| Right side of the equation = | ( | 3 5 | x | − | 5 | ) | × | 3 100 | + | ( | 3 5 | x | − | 5 | ) | × | 97 500 | + | 180 | + | 2 5 | x |
| x | = | ( | 3 5 | x | − | 5 | ) | × | 3 100 | + | ( | 3 5 | x | − | 5 | ) | × | 97 500 | + | 180 | + | 2 5 | x |
| Right side of the equation = | 3 5 | x | × | 3 100 | − | 5 | × | 3 100 | + | ( | 3 5 | x | − | 5 | ) | × | 97 500 | + | 180 | + | 2 5 | x |
| = | 9 500 | x | − | 3 20 | + | ( | 3 5 | x | − | 5 | ) | × | 97 500 | + | 180 | + | 2 5 | x |
| = | 209 500 | x | + | 3597 20 | + | ( | 3 5 | x | − | 5 | ) | × | 97 500 |
| = | 209 500 | x | + | 3597 20 | + | 3 5 | x | × | 97 500 | − | 5 | × | 97 500 |
| = | 209 500 | x | + | 3597 20 | + | 291 2500 | x | − | 97 100 |
| = | 334 625 | x | + | 4472 25 |
| x | = | 334 625 | x | + | 4472 25 |
Transposition :
| x | − | 334 625 | x | = | 4472 25 |
Combine the items on the left of the equation:
291 625 | x | = | 4472 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4472 25 | ÷ | 291 625 |
| = | 4472 25 | × | 625 291 |
| = | 4472 | × | 25 291 |
We obtained :
| x | = | 111800 291 |
Convert the result to decimal form :
| x | = | 384.19244 |