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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 1144567 = 1584x+(x-620.62)*1*12+(x-758.39)*1*5+(x-675.06)*4*5+(x-660)*1*6+(x-660)*3*5+(x-660)*1*5 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1144567 = 1584x+(x-620.62)*1*12+(x-758.39)*1*5+(x-675.06)*4*5+(x-660)*1*6+(x-660)*3*5+(x-660)*1*5 .
Question type: Equation
Solution:Original question:
| 1144567 | = | 1584 | x | + | ( | x | − | 31031 50 | ) | × | 1 | × | 12 | + | ( | x | − | 75839 100 | ) | × | 1 | × | 5 | + | ( | x | − | 33753 50 | ) | × | 4 | × | 5 | + | ( | x | − | 660 | ) |
| Right side of the equation = | 1584 | x | + | ( | x | − | 31031 50 | ) | × | 12 | + | ( | x | − | 75839 100 | ) | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 |
| 1144567 | = | 1584 | x | + | ( | x | − | 31031 50 | ) | × | 12 | + | ( | x | − | 75839 100 | ) | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 |
| Right side of the equation = | 1584 | x | + | x | × | 12 | − | 31031 50 | × | 12 | + | ( | x | − | 75839 100 | ) | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 |
| = | 1584 | x | + | x | × | 12 | − | 186186 25 | + | ( | x | − | 75839 100 | ) | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) |
| = | 1596 | x | − | 186186 25 | + | ( | x | − | 75839 100 | ) | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) |
| = | 1596 | x | − | 186186 25 | + | x | × | 5 | − | 75839 100 | × | 5 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) |
| = | 1596 | x | − | 186186 25 | + | x | × | 5 | − | 75839 20 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 |
| = | 1601 | x | − | 1123939 100 | + | ( | x | − | 33753 50 | ) | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1601 | x | − | 1123939 100 | + | x | × | 20 | − | 33753 50 | × | 20 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) |
| = | 1601 | x | − | 1123939 100 | + | x | × | 20 | − | 67506 5 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1621 | x | − | 2474059 100 | + | ( | x | − | 660 | ) | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1621 | x | − | 2474059 100 | + | x | × | 6 | − | 660 | × | 6 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1621 | x | − | 2474059 100 | + | x | × | 6 | − | 3960 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1627 | x | − | 2870059 100 | + | ( | x | − | 660 | ) | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1627 | x | − | 2870059 100 | + | x | × | 15 | − | 660 | × | 15 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1627 | x | − | 2870059 100 | + | x | × | 15 | − | 9900 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1642 | x | − | 3860059 100 | + | ( | x | − | 660 | ) | × | 5 |
| = | 1642 | x | − | 3860059 100 | + | x | × | 5 | − | 660 | × | 5 |
| = | 1642 | x | − | 3860059 100 | + | x | × | 5 | − | 3300 |
| = | 1647 | x | − | 4190059 100 |
| 1144567 | = | 1647 | x | − | 4190059 100 |
Transposition :
| - | 1647 | x | = | - | 4190059 100 | − | 1144567 |
Combine the items on the right of the equation:
| - | 1647 | x | = | - | 118646759 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
118646759 100 | = | 1647 | 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 :
| 1647 | x | = | 118646759 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 118646759 100 | ÷ | 1647 |
| = | 118646759 100 | × | 1 1647 |
We obtained :
| x | = | 118646759 164700 |
Convert the result to decimal form :
| x | = | 720.38105 |