Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （x×0.0864+1016）×（1+0.359+0.15）×3.5÷0.9 = 30000 .
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 :
Transposition :
Combine the items on the right of the equation:
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 （x×0.0864+1016）×（1+0.359+0.15）×3.5÷0.9 = 30000 .
Question type: Equation
Solution:Original question:
| ( | x | × | 54 625 | + | 1016 | ) | ( | 1 | + | 359 1000 | + | 3 20 | ) | × | 7 2 | ÷ | 9 10 | = | 30000 |
| Left side of the equation = | ( | x | × | 54 625 | + | 1016 | ) | ( | 1 | + | 359 1000 | + | 3 20 | ) | × | 35 9 |
| ( | x | × | 54 625 | + | 1016 | ) | ( | 1 | + | 359 1000 | + | 3 20 | ) | × | 35 9 | = | 30000 |
| Left side of the equation = | x | × | 54 625 | ( | 1 | + | 359 1000 | + | 3 20 | ) | × | 35 9 | + | 1016 | ( | 1 | + | 359 1000 | + | 3 20 | ) | × | 35 9 |
| = | x | × | 42 125 | ( | 1 | + | 359 1000 | + | 3 20 | ) | + | 35560 9 | ( | 1 | + | 359 1000 | + | 3 20 | ) |
| = | x | × | 42 125 | × | 1 | + | x | × | 42 125 | × | 359 1000 | + | x | × | 42 125 | × | 3 20 | + | 35560 9 | ( | 1 | + | 359 1000 | + | 3 20 | ) |
| = | x | × | 42 125 | + | x | × | 7539 62500 | + | x | × | 63 1250 | + | 35560 9 | ( | 1 | + | 359 1000 | + | 3 20 | ) |
| = | 31689 62500 | x | + | 35560 9 | ( | 1 | + | 359 1000 | + | 3 20 | ) |
| = | 31689 62500 | x | + | 35560 9 | × | 1 | + | 35560 9 | × | 359 1000 | + | 35560 9 | × | 3 20 |
| = | 31689 62500 | x | + | 35560 9 | + | 319151 225 | + | 1778 3 |
| = | 31689 62500 | x | + | 447167 75 |
31689 62500 | x | + | 447167 75 | = | 30000 |
Transposition :
31689 62500 | x | = | 30000 | − | 447167 75 |
Combine the items on the right of the equation:
31689 62500 | x | = | 1802833 75 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1802833 75 | ÷ | 31689 62500 |
| = | 1802833 75 | × | 62500 31689 |
| = | 1802833 3 | × | 2500 31689 |
We obtained :
| x | = | 4507082500 95067 |
Convert the result to decimal form :
| x | = | 47409.537484 |