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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 11x+(x÷4)+(x÷6）+3×（x-790）+{8×（x-790）÷12}+29×（x-930）+{（x-930）÷12}×15+10000+1666.67+500 = 368661.96 .
Question type: Equation
Solution:Original question:
| 11 | x | + | ( | x | ÷ | 4 | ) | + | ( | x | ÷ | 6 | ) | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 10000 | = | 9216549 25 |
| Left side of the equation = | 11 | x | + | ( | x | ÷ | 4 | ) | + | ( | x | ÷ | 6 | ) | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| 11 | x | + | ( | x | ÷ | 4 | ) | + | ( | x | ÷ | 6 | ) | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 | = | 9216549 25 |
| Left side of the equation = | 11 | x | + | x | ÷ | 4 | + | ( | x | ÷ | 6 | ) | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 45 4 | x | + | ( | x | ÷ | 6 | ) | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| = | 45 4 | x | + | x | ÷ | 6 | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| = | 137 12 | x | + | 3 | ( | x | − | 790 | ) | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| = | 137 12 | x | + | 3 | x | − | 3 | × | 790 | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| = | 137 12 | x | + | 3 | x | − | 2370 | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 | + | 1216667 100 |
| = | 173 12 | x | + | 979667 100 | + | ( | 8 | ( | x | − | 790 | ) | ÷ | 12 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 173 12 | x | + | 979667 100 | + | 8 | ( | x | − | 790 | ) | ÷ | 12 | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 173 12 | x | + | 979667 100 | + | 2 3 | ( | x | − | 790 | ) | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 173 12 | x | + | 979667 100 | + | 2 3 | x | − | 2 3 | × | 790 | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 173 12 | x | + | 979667 100 | + | 2 3 | x | − | 1580 3 | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 181 12 | x | + | 2781001 300 | + | 29 | ( | x | − | 930 | ) | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 181 12 | x | + | 2781001 300 | + | 29 | x | − | 29 | × | 930 | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 181 12 | x | + | 2781001 300 | + | 29 | x | − | 26970 | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 529 12 | x | − | 5309999 300 | + | ( | ( | x | − | 930 | ) | ÷ | 12 | ) | × | 15 |
| = | 529 12 | x | − | 5309999 300 | + | ( | x | − | 930 | ) | ÷ | 12 | × | 15 |
| = | 529 12 | x | − | 5309999 300 | + | ( | x | − | 930 | ) | × | 5 4 |
| = | 529 12 | x | − | 5309999 300 | + | x | × | 5 4 | − | 930 | × | 5 4 |
| = | 529 12 | x | − | 5309999 300 | + | x | × | 5 4 | − | 2325 2 |
| = | 136 3 | x | − | 5658749 300 |
136 3 | x | − | 5658749 300 | = | 9216549 25 |
Transposition :
136 3 | x | = | 9216549 25 | + | 5658749 300 |
Combine the items on the right of the equation:
136 3 | x | = | 116257337 300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 116257337 300 | ÷ | 136 3 |
| = | 116257337 300 | × | 3 136 |
| = | 116257337 100 | × | 1 136 |
We obtained :
| x | = | 116257337 13600 |
Convert the result to decimal form :
| x | = | 8548.333603 |