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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 -26.67(2*80/3(1-x)+3)+26.67(40x+40/3(1-x)+4)+20(30x+10(1-x)+2)-20(60(1-x)+1)+26.67(80x+80/3(1-x)+1)+20(60x+20(1-x)+1) = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
x≈0.144772 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation -26.67(2*80/3(1-x)+3)+26.67(40x+40/3(1-x)+4)+20(30x+10(1-x)+2)-20(60(1-x)+1)+26.67(80x+80/3(1-x)+1)+20(60x+20(1-x)+1) = 0 .
Question type: Equation
Solution:Original question:
| - | 2667 100 | ( | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 3 | ) | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) | = | 0 |
| Left side of the equation = | - | 2667 100 | × | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | − | 2667 100 | × | 3 | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 |
| = | - | 7112 5 | ( | 1 | − | x | ) | − | 8001 100 | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 7112 5 | × | 1 | + | 7112 5 | x | − | 8001 100 | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 |
| = | - | 7112 5 | + | 7112 5 | x | − | 8001 100 | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 150241 100 | + | 7112 5 | x | + | 2667 100 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 150241 100 | + | 7112 5 | x | + | 2667 100 | × | 40 | x | + | 2667 100 | × | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 2667 100 | × | 4 |
| = | - | 150241 100 | + | 7112 5 | x | + | 5334 5 | x | + | 1778 5 | ( | 1 | − | x | ) | + | 2667 25 | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 139573 100 | + | 12446 5 | x | + | 1778 5 | ( | 1 | − | x | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 139573 100 | + | 12446 5 | x | + | 1778 5 | × | 1 | − | 1778 5 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 |
| = | - | 139573 100 | + | 12446 5 | x | + | 1778 5 | − | 1778 5 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 104013 100 | + | 10668 5 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 104013 100 | + | 10668 5 | x | + | 20 | × | 30 | x | + | 20 | × | 10 | ( | 1 | − | x | ) | + | 20 | × | 2 | − | 20 |
| = | - | 104013 100 | + | 10668 5 | x | + | 600 | x | + | 200 | ( | 1 | − | x | ) | + | 40 | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 100013 100 | + | 13668 5 | x | + | 200 | ( | 1 | − | x | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 100013 100 | + | 13668 5 | x | + | 200 | × | 1 | − | 200 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 100013 100 | + | 13668 5 | x | + | 200 | − | 200 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 80013 100 | + | 12668 5 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 80013 100 | + | 12668 5 | x | − | 20 | × | 60 | ( | 1 | − | x | ) | − | 20 | × | 1 | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 80013 100 | + | 12668 5 | x | − | 1200 | ( | 1 | − | x | ) | − | 20 | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 82013 100 | + | 12668 5 | x | − | 1200 | ( | 1 | − | x | ) | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 82013 100 | + | 12668 5 | x | − | 1200 | × | 1 | + | 1200 | x | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 82013 100 | + | 12668 5 | x | − | 1200 | + | 1200 | x | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 202013 100 | + | 18668 5 | x | + | 2667 100 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 202013 100 | + | 18668 5 | x | + | 2667 100 | × | 80 | x | + | 2667 100 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 2667 100 | × | 1 |
| = | - | 202013 100 | + | 18668 5 | x | + | 10668 5 | x | + | 3556 5 | ( | 1 | − | x | ) | + | 2667 100 | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
x≈0.144772 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》