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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 700*2500/9.12+700*(x-50)*((x-50)/2+50)/5.88+4680*383.9 = x*(700*50/4.56+700*(x-50)/5.88+4680) .
Question type: Equation
Solution:Original question:
| 700 | × | 2500 | ÷ | 228 25 | + | 700 | ( | x | − | 50 | ) | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) | ÷ | 147 25 | + | 4680 | × | 3839 10 | = | x | ( | 700 | × | 50 | ÷ | 114 25 | + | 700 | ( | x | − | 50 | ) | ÷ | 147 25 | + | 4680 | ) |
| Left side of the equation = | 10937500 57 | + | 2500 21 | ( | x | − | 50 | ) | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) | + | 1796652 |
| = | 113346664 57 | + | 2500 21 | ( | x | − | 50 | ) | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
113346664 57 | + | 2500 21 | ( | x | − | 50 | ) | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) | = | x | ( | 700 | × | 50 | ÷ | 114 25 | + | 700 | ( | x | − | 50 | ) | ÷ | 147 25 | + | 4680 | ) |
| Left side of the equation = | 113346664 57 | + | 2500 21 | x | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) | − | 2500 21 | × | 50 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 2500 21 | x | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 2500 21 | x | ( | x | − | 50 | ) | ÷ | 2 | + | 2500 21 | x | × | 50 | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 1250 21 | x | ( | x | − | 50 | ) | + | 125000 21 | x | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 1250 21 | x | x | − | 1250 21 | x | × | 50 | + | 125000 21 | x | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 1250 21 | x | x | − | 62500 21 | x | + | 125000 21 | x | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 1250 21 | x | x | + | 62500 21 | x | − | 125000 21 | ( | ( | x | − | 50 | ) | ÷ | 2 | + | 50 | ) |
| = | 113346664 57 | + | 1250 21 | x | x | + | 62500 21 | x | − | 125000 21 | ( | x | − | 50 | ) | ÷ | 2 | − | 125000 21 | × | 50 |
| = | 113346664 57 | + | 1250 21 | x | x | + | 62500 21 | x | − | 62500 21 | ( | x | − | 50 | ) | − | 6250000 21 |
| = | 224892216 133 | + | 1250 21 | x | x | + | 62500 21 | x | − | 62500 21 | ( | x | − | 50 | ) |
| = | 224892216 133 | + | 1250 21 | x | x | + | 62500 21 | x | − | 62500 21 | x | + | 62500 21 | × | 50 |
| = | 224892216 133 | + | 1250 21 | x | x | + | 62500 21 | x | − | 62500 21 | x | + | 3125000 21 |
| = | 734051648 399 | + | 1250 21 | x | x | + | 0 | x |
734051648 399 | + | 1250 21 | x | x | + | 0 | x | = | x | ( | 700 | × | 50 | ÷ | 114 25 | + | 700 | ( | x | − | 50 | ) | ÷ | 147 25 | + | 4680 | ) |
| Right side of the equation = | x | × | 700 | × | 50 | ÷ | 114 25 | + | x | × | 700 | ( | x | − | 50 | ) | ÷ | 147 25 | + | x | × | 4680 |
| = | x | × | 437500 57 | + | x | × | 2500 21 | ( | x | − | 50 | ) | + | x | × | 4680 |
| = | 704260 57 | x | + | x | × | 2500 21 | ( | x | − | 50 | ) |
| = | 704260 57 | x | + | x | × | 2500 21 | x | − | x | × | 2500 21 | × | 50 |
| = | 704260 57 | x | + | x | × | 2500 21 | x | − | x | × | 125000 21 |
| = | 2554820 399 | x | + | x | × | 2500 21 | x |
734051648 399 | + | 1250 21 | x | x | = | 2554820 399 | x | + | x | × | 2500 21 | x |
x≈130.062997 , 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》