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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 365q-（（1500+0.15*365q）*0.4529+611.8275+330.75）+300 = 0 .
Question type: Equation
Solution:Original question:
| 365 | q | − | ( | ( | 1500 | + | 3 20 | × | 365 | q | ) | × | 4529 10000 | + | 244731 400 | + | 1323 4 | ) | + | 300 | = | 0 |
| Left side of the equation = | 365 | q | − | ( | 1500 | + | 3 20 | × | 365 | q | ) | × | 4529 10000 | − | 244731 400 | − | 1323 4 | + | 300 |
| = | 365 | q | − | ( | 1500 | + | 3 20 | × | 365 | q | ) | × | 4529 10000 | − | 257031 400 |
| = | 365 | q | − | 1500 | × | 4529 10000 | − | 3 20 | × | 365 | q | × | 4529 10000 | − | 257031 400 |
| = | 365 | q | − | 13587 20 | − | 991851 40000 | q | − | 257031 400 |
| = | 13608149 40000 | q | − | 528771 400 |
13608149 40000 | q | − | 528771 400 | = | 0 |
Transposition :
13608149 40000 | q | = | 0 | + | 528771 400 |
Combine the items on the right of the equation:
13608149 40000 | q | = | 528771 400 |
The coefficient of the unknown number is reduced to 1 :
| q | = | 528771 400 | ÷ | 13608149 40000 |
| = | 528771 400 | × | 40000 13608149 |
| = | 528771 | × | 100 13608149 |
We obtained :
| q | = | 52877100 13608149 |
Convert the result to decimal form :
| q | = | 3.885694 |