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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 （2+1.5*x）*x = 2.4*（2.375-x）*（2.04+（2.375-x）*1.5） .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
The solution of the equation:
x1≈1.537762 , keep 6 decimal places
x2≈9.888904 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （2+1.5*x）*x = 2.4*（2.375-x）*（2.04+（2.375-x）*1.5） .
Question type: Equation
Solution:Original question:
| ( | 2 | + | 3 2 | x | ) | x | = | 12 5 | ( | 19 8 | − | x | ) | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| Left side of the equation = | 2 | x | + | 3 2 | x | x |
| 2 | x | + | 3 2 | x | x | = | 12 5 | ( | 19 8 | − | x | ) | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| Right side of the equation = | 12 5 | × | 19 8 | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 57 10 | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 57 10 | × | 51 25 | + | 57 10 | ( | 19 8 | − | x | ) | × | 3 2 | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 2907 250 | + | 171 20 | ( | 19 8 | − | x | ) | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 2907 250 | + | 171 20 | × | 19 8 | − | 171 20 | x | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 2907 250 | + | 3249 160 | − | 171 20 | x | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 127737 4000 | − | 171 20 | x | − | 12 5 | x | ( | 51 25 | + | ( | 19 8 | − | x | ) | × | 3 2 | ) |
| = | 127737 4000 | − | 171 20 | x | − | 12 5 | x | × | 51 25 | − | 12 5 | x | ( | 19 8 | − | x | ) | × | 3 2 |
| = | 127737 4000 | − | 171 20 | x | − | 612 125 | x | − | 18 5 | x | ( | 19 8 | − | x | ) |
| = | 127737 4000 | − | 6723 500 | x | − | 18 5 | x | ( | 19 8 | − | x | ) |
| = | 127737 4000 | − | 6723 500 | x | − | 18 5 | x | × | 19 8 | + | 18 5 | x | x |
| = | 127737 4000 | − | 6723 500 | x | − | 171 20 | x | + | 18 5 | x | x |
| = | 127737 4000 | − | 5499 250 | x | + | 18 5 | x | x |
| 2 | x | + | 3 2 | x | x | = | 127737 4000 | − | 5499 250 | x | + | 18 5 | x | x |
The solution of the equation:
x1≈1.537762 , keep 6 decimal places
x2≈9.888904 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》