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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 （71+20+211）*1.25x+（109+11）*1.2x+228*1.05x+（589+185）*x = （1028+396）*2607 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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 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 （71+20+211）*1.25x+（109+11）*1.2x+228*1.05x+（589+185）*x = （1028+396）*2607 .
Question type: Equation
Solution:Original question:
| ( | 71 | + | 20 | + | 211 | ) | × | 5 4 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x | + | 228 | × | 21 20 | x | + | ( | 589 | + | 185 | ) | x | = | ( | 1028 | + | 396 | ) | × | 2607 |
| Left side of the equation = | ( | 71 | + | 20 | + | 211 | ) | × | 5 4 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x | + | 1197 5 | x | + | ( | 589 | + | 185 | ) | x |
| ( | 71 | + | 20 | + | 211 | ) | × | 5 4 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x | + | 1197 5 | x | + | ( | 589 | + | 185 | ) | x | = | ( | 1028 | + | 396 | ) | × | 2607 |
| Left side of the equation = | 71 | × | 5 4 | x | + | 20 | × | 5 4 | x | + | 211 | × | 5 4 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x |
| = | 355 4 | x | + | 25 | x | + | 1055 4 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x | + | 1197 5 | x | + | ( | 589 | + | 185 | ) |
| = | 6169 10 | x | + | ( | 109 | + | 11 | ) | × | 6 5 | x | + | ( | 589 | + | 185 | ) | x |
| = | 6169 10 | x | + | 109 | × | 6 5 | x | + | 11 | × | 6 5 | x | + | ( | 589 | + | 185 | ) | x |
| = | 6169 10 | x | + | 654 5 | x | + | 66 5 | x | + | ( | 589 | + | 185 | ) | x |
| = | 7609 10 | x | + | ( | 589 | + | 185 | ) | x |
| = | 7609 10 | x | + | 589 | x | + | 185 | x |
| = | 15349 10 | x |
15349 10 | x | = | ( | 1028 | + | 396 | ) | × | 2607 |
| Right side of the equation = | 1028 | × | 2607 | + | 396 | × | 2607 |
| = | 2679996 | + | 1032372 |
| = | 3712368 |
15349 10 | x | = | 3712368 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3712368 | ÷ | 15349 10 |
| = | 3712368 | × | 10 15349 |
We obtained :
| x | = | 37123680 15349 |
Convert the result to decimal form :
| x | = | 2418.638348 |