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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 0.5*5.969*50*x+2.84*0.9*0.7*（250+1.5*19*（x-3）） = 5340.35+35.44x .
Question type: Equation
Solution:Original question:
1 2 | × | 5969 1000 | × | 50 | x | + | 71 25 | × | 9 10 | × | 7 10 | ( | 250 | + | 3 2 | × | 19 | ( | x | − | 3 | ) | ) | = | 106807 20 | + | 886 25 | x |
| Left side of the equation = | 5969 40 | x | + | 4473 2500 | ( | 250 | + | 3 2 | × | 19 | ( | x | − | 3 | ) | ) |
5969 40 | x | + | 4473 2500 | ( | 250 | + | 3 2 | × | 19 | ( | x | − | 3 | ) | ) | = | 106807 20 | + | 886 25 | x |
| Left side of the equation = | 5969 40 | x | + | 4473 2500 | × | 250 | + | 4473 2500 | × | 3 2 | × | 19 | ( | x | − | 3 | ) |
| = | 5969 40 | x | + | 4473 10 | + | 254961 5000 | ( | x | − | 3 | ) |
| = | 5969 40 | x | + | 4473 10 | + | 254961 5000 | x | − | 254961 5000 | × | 3 |
| = | 5969 40 | x | + | 4473 10 | + | 254961 5000 | x | − | 764883 5000 |
| = | 500543 2500 | x | + | 1471617 5000 |
500543 2500 | x | + | 1471617 5000 | = | 106807 20 | + | 886 25 | x |
Transposition :
500543 2500 | x | − | 886 25 | x | = | 106807 20 | − | 1471617 5000 |
Combine the items on the left of the equation:
411943 2500 | x | = | 106807 20 | − | 1471617 5000 |
Combine the items on the right of the equation:
411943 2500 | x | = | 25230133 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25230133 5000 | ÷ | 411943 2500 |
| = | 25230133 5000 | × | 2500 411943 |
| = | 25230133 2 | × | 1 411943 |
We obtained :
| x | = | 25230133 823886 |
Convert the result to decimal form :
| x | = | 30.62333 |