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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 1.57*9*（X）+1.55*30*（x-100）+1.55*90*1400+156*1.57*1300 = 600000 .
Question type: Equation
Solution:Original question:
157 100 | × | 9 | ( | X | ) | + | 31 20 | × | 30 | ( | X | − | 100 | ) | + | 31 20 | × | 90 | × | 1400 | + | 156 | × | 157 100 | × | 1300 | = | 600000 |
| Left side of the equation = | 1413 100 | ( | X | ) | + | 93 2 | ( | X | − | 100 | ) | + | 195300 | + | 318396 |
| = | 1413 100 | ( | X | ) | + | 93 2 | ( | X | − | 100 | ) | + | 513696 |
1413 100 | ( | X | ) | + | 93 2 | ( | X | − | 100 | ) | + | 513696 | = | 600000 |
| Left side of the equation = | 1413 100 | X | + | 93 2 | ( | X | − | 100 | ) | + | 513696 |
| = | 1413 100 | X | + | 93 2 | X | − | 93 2 | × | 100 | + | 513696 |
| = | 1413 100 | X | + | 93 2 | X | − | 4650 | + | 513696 |
| = | 6063 100 | X | + | 509046 |
6063 100 | X | + | 509046 | = | 600000 |
Transposition :
6063 100 | X | = | 600000 | − | 509046 |
Combine the items on the right of the equation:
6063 100 | X | = | 90954 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 90954 | ÷ | 6063 100 |
| = | 90954 | × | 100 6063 |
| = | 30318 | × | 100 2021 |
We obtained :
| X | = | 3031800 2021 |
Convert the result to decimal form :
| X | = | 1500.148441 |