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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 0.115*(1.0625+0.00029x)*(1250-x) = 0.345*(0.3195+0.00013x)*(x-150) .
Question type: Equation
Solution:Original question:
23 200 | ( | 17 16 | + | 29 100000 | x | ) | ( | 1250 | − | x | ) | = | 69 200 | ( | 639 2000 | + | 13 100000 | x | ) | ( | x | − | 150 | ) |
| Left side of the equation = | 23 200 | × | 17 16 | ( | 1250 | − | x | ) | + | 23 200 | × | 29 100000 | x | ( | 1250 | − | x | ) |
| = | 391 3200 | ( | 1250 | − | x | ) | + | 667 20000000 | x | ( | 1250 | − | x | ) |
| = | 391 3200 | × | 1250 | − | 391 3200 | x | + | 667 20000000 | x | ( | 1250 | − | x | ) |
| = | 9775 64 | − | 391 3200 | x | + | 667 20000000 | x | ( | 1250 | − | x | ) |
| = | 9775 64 | − | 391 3200 | x | + | 667 20000000 | x | × | 1250 | − | 667 20000000 | x | x |
| = | 9775 64 | − | 391 3200 | x | + | 667 16000 | x | − | 667 20000000 | x | x |
| = | 9775 64 | − | 161 2000 | x | − | 667 20000000 | x | x |
9775 64 | − | 161 2000 | x | − | 667 20000000 | x | x | = | 69 200 | ( | 639 2000 | + | 13 100000 | x | ) | ( | x | − | 150 | ) |
| Right side of the equation = | 69 200 | × | 639 2000 | ( | x | − | 150 | ) | + | 69 200 | × | 13 100000 | x | ( | x | − | 150 | ) |
| = | 44091 400000 | ( | x | − | 150 | ) | + | 897 20000000 | x | ( | x | − | 150 | ) |
| = | 44091 400000 | x | − | 44091 400000 | × | 150 | + | 897 20000000 | x | ( | x | − | 150 | ) |
| = | 44091 400000 | x | − | 132273 8000 | + | 897 20000000 | x | ( | x | − | 150 | ) |
| = | 44091 400000 | x | − | 132273 8000 | + | 897 20000000 | x | x | − | 897 20000000 | x | × | 150 |
| = | 44091 400000 | x | − | 132273 8000 | + | 897 20000000 | x | x | − | 2691 400000 | x |
| = | 207 2000 | x | − | 132273 8000 | + | 897 20000000 | x | x |
9775 64 | − | 161 2000 | x | − | 667 20000000 | x | x | = | 207 2000 | x | − | 132273 8000 | + | 897 20000000 | x | x |
the solutions is:
x≈707.313335 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》