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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 1.8(5x-3)-[3/12+4x/12+3/8] = 6(3x+4)-9(0.8x+1.7) .
Question type: Equation
Solution:Original question:
9 5 | ( | 5 | x | − | 3 | ) | − | ( | 3 | ÷ | 12 | + | 4 | x | ÷ | 12 | + | 3 | ÷ | 8 | ) | = | 6 | ( | 3 | x | + | 4 | ) | − | 9 | ( | 4 5 | x | + | 17 10 | ) |
| Left side of the equation = | 9 5 | × | 5 | x | − | 9 5 | × | 3 | − | ( | 3 | ÷ | 12 | + | 4 | x | ÷ | 12 | + | 3 | ÷ | 8 | ) |
| = | 9 | x | − | 27 5 | − | ( | 3 | ÷ | 12 | + | 4 | x | ÷ | 12 | + | 3 | ÷ | 8 | ) |
| = | 9 | x | − | 27 5 | − | 3 | ÷ | 12 | − | 4 | x | ÷ | 12 | − | 3 | ÷ | 8 |
| = | 9 | x | − | 27 5 | − | 1 4 | − | 1 3 | x | − | 3 8 |
| = | 26 3 | x | − | 241 40 |
26 3 | x | − | 241 40 | = | 6 | ( | 3 | x | + | 4 | ) | − | 9 | ( | 4 5 | x | + | 17 10 | ) |
| Right side of the equation = | 6 | × | 3 | x | + | 6 | × | 4 | − | 9 | ( | 4 5 | x | + | 17 10 | ) |
| = | 18 | x | + | 24 | − | 9 | ( | 4 5 | x | + | 17 10 | ) |
| = | 18 | x | + | 24 | − | 9 | × | 4 5 | x | − | 9 | × | 17 10 |
| = | 18 | x | + | 24 | − | 36 5 | x | − | 153 10 |
| = | 54 5 | x | + | 87 10 |
26 3 | x | − | 241 40 | = | 54 5 | x | + | 87 10 |
Transposition :
26 3 | x | − | 54 5 | x | = | 87 10 | + | 241 40 |
Combine the items on the left of the equation:
| - | 32 15 | x | = | 87 10 | + | 241 40 |
Combine the items on the right of the equation:
| - | 32 15 | x | = | 589 40 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 589 40 | = | 32 15 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
32 15 | x | = | - | 589 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 589 40 | ÷ | 32 15 |
| = | - | 589 40 | × | 15 32 |
| = | - | 589 8 | × | 3 32 |
We obtained :
| x | = | - | 1767 256 |
Convert the result to decimal form :
| x | = | - 6.902344 |