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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 614.125×1.5×（3.9+t）-179.86×（3.9+1.5t） = 0 .
Question type: Equation
Solution:Original question:
4913 8 | × | 3 2 | ( | 39 10 | + | t | ) | − | 8993 50 | ( | 39 10 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 14739 16 | ( | 39 10 | + | t | ) | − | 8993 50 | ( | 39 10 | + | 3 2 | t | ) |
14739 16 | ( | 39 10 | + | t | ) | − | 8993 50 | ( | 39 10 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 14739 16 | × | 39 10 | + | 14739 16 | t | − | 8993 50 | ( | 39 10 | + | 3 2 | t | ) |
| = | 574821 160 | + | 14739 16 | t | − | 8993 50 | ( | 39 10 | + | 3 2 | t | ) |
| = | 574821 160 | + | 14739 16 | t | − | 8993 50 | × | 39 10 | − | 8993 50 | × | 3 2 | t |
| = | 574821 160 | + | 14739 16 | t | − | 350727 500 | − | 26979 100 | t |
| = | 11564709 4000 | + | 260559 400 | t |
11564709 4000 | + | 260559 400 | t | = | 0 |
Transposition :
260559 400 | t | = | 0 | − | 11564709 4000 |
Combine the items on the right of the equation:
260559 400 | t | = | - | 11564709 4000 |
The coefficient of the unknown number is reduced to 1 :
| t | = | - | 11564709 4000 | ÷ | 260559 400 |
| = | - | 11564709 4000 | × | 400 260559 |
| = | - | 17443 10 | × | 1 393 |
We obtained :
| t | = | - | 17443 3930 |
Convert the result to decimal form :
| t | = | - 4.438422 |