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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 6.8647+(6.9651-6.8647)*(x-160)/20+((7.659+(7.7482-7.659)*(x-160)/20)-(6.8647+(6.9651-6.8647)*(x-160)/20))*0.75 = 7.4956 .
Question type: Equation
Solution:Original question:
68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 | = | 18739 2500 |
| Left side of the equation = | 68647 10000 | + | 69651 10000 | ( | x | − | 160 | ) | × | 1 20 | − | 68647 10000 | ( | x | − | 160 | ) | × | 1 20 | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | 68647 10000 | + | 69651 200000 | ( | x | − | 160 | ) | − | 68647 200000 | ( | x | − | 160 | ) | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | 68647 10000 | + | 69651 200000 | x | − | 69651 200000 | × | 160 | − | 68647 200000 | ( | x | − | 160 | ) | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | 68647 10000 | + | 69651 200000 | x | − | 69651 1250 | − | 68647 200000 | ( | x | − | 160 | ) | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | - | 488561 10000 | + | 69651 200000 | x | − | 68647 200000 | ( | x | − | 160 | ) | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | - | 488561 10000 | + | 69651 200000 | x | − | 68647 200000 | x | + | 68647 200000 | × | 160 | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | - | 488561 10000 | + | 69651 200000 | x | − | 68647 200000 | x | + | 68647 1250 | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | 12123 2000 | + | 251 50000 | x | + | ( | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | ) | × | 3 4 |
| = | 12123 2000 | + | 251 50000 | x | + | ( | 7659 1000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 12123 2000 | + | 251 50000 | x | + | 7659 1000 | × | 3 4 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | ÷ | 20 | × | 3 4 | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 12123 2000 | + | 251 50000 | x | + | 22977 4000 | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | × | 3 80 | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 47223 4000 | + | 251 50000 | x | + | ( | 38741 5000 | − | 7659 1000 | ) | ( | x | − | 160 | ) | × | 3 80 | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 47223 4000 | + | 251 50000 | x | + | 38741 5000 | ( | x | − | 160 | ) | × | 3 80 | − | 7659 1000 | ( | x | − | 160 | ) | × | 3 80 | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 47223 4000 | + | 251 50000 | x | + | 116223 400000 | ( | x | − | 160 | ) | − | 22977 80000 | ( | x | − | 160 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 47223 4000 | + | 251 50000 | x | + | 116223 400000 | x | − | 116223 400000 | × | 160 | − | 22977 80000 | ( | x | − | 160 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
| = | 47223 4000 | + | 251 50000 | x | + | 116223 400000 | x | − | 116223 2500 | − | 22977 80000 | ( | x | − | 160 | ) | − | ( | 68647 10000 | + | ( | 69651 10000 | − | 68647 10000 | ) | ( | x | − | 160 | ) | ÷ | 20 | ) | × | 3 4 |
x≈167.646739 , 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》