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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 259.5/30*x+180/30*(x+15)+90/30(x+30) = 981 .
Question type: Equation
Solution:Original question:
519 2 | ÷ | 30 | × | x | + | 180 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 90 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 981 |
| Left side of the equation = | 173 20 | x | + | 6 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
173 20 | x | + | 6 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 981 |
| Left side of the equation = | 173 20 | x | + | 6 | x | + | 6 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 173 20 | x | + | 6 | x | + | 90 | + | 3 | ( | x | + | 30 | ) |
| = | 293 20 | x | + | 90 | + | 3 | ( | x | + | 30 | ) |
| = | 293 20 | x | + | 90 | + | 3 | x | + | 3 | × | 30 |
| = | 293 20 | x | + | 90 | + | 3 | x | + | 90 |
| = | 353 20 | x | + | 180 |
353 20 | x | + | 180 | = | 981 |
Transposition :
353 20 | x | = | 981 | − | 180 |
Combine the items on the right of the equation:
353 20 | x | = | 801 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 801 | ÷ | 353 20 |
| = | 801 | × | 20 353 |
We obtained :
| x | = | 16020 353 |
Convert the result to decimal form :
| x | = | 45.382436 |