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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 450q-（（70+240q）+171+50+69.018+10+0.22375）-（450q*0.13-15q-30.4）*0.12 = 0 .
Question type: Equation
Solution:Original question:
| 450 | q | − | ( | ( | 70 | + | 240 | q | ) | + | 171 | + | 50 | + | 34509 500 | + | 10 | + | 179 800 | ) | − | ( | 450 | q | × | 13 100 | − | 15 | q | − | 152 5 | ) | × | 3 25 | = | 0 |
| Left side of the equation = | 450 | q | − | ( | 70 | + | 240 | q | ) | − | 171 | − | 50 | − | 34509 500 | − | 10 | − | 179 800 | − | ( | 450 | q | × | 13 100 | − | 15 | q | − | 152 5 | ) | × | 3 25 |
| = | 450 | q | − | ( | 70 | + | 240 | q | ) | − | 1200967 4000 | − | ( | 450 | q | × | 13 100 | − | 15 | q | − | 152 5 | ) | × | 3 25 |
| = | 450 | q | − | 70 | − | 240 | q | − | 1200967 4000 | − | ( | 450 | q | × | 13 100 | − | 15 | q | − | 152 5 | ) | × | 3 25 |
| = | 210 | q | − | 1480967 4000 | − | ( | 450 | q | × | 13 100 | − | 15 | q | − | 152 5 | ) | × | 3 25 |
| = | 210 | q | − | 1480967 4000 | − | 450 | q | × | 13 100 | × | 3 25 | + | 15 | q | × | 3 25 | + | 152 5 | × | 3 25 |
| = | 210 | q | − | 1480967 4000 | − | 351 50 | q | + | 9 5 | q | + | 456 125 |
| = | 10239 50 | q | − | 11731 32 |
10239 50 | q | − | 11731 32 | = | 0 |
Transposition :
10239 50 | q | = | 0 | + | 11731 32 |
Combine the items on the right of the equation:
10239 50 | q | = | 11731 32 |
The coefficient of the unknown number is reduced to 1 :
| q | = | 11731 32 | ÷ | 10239 50 |
| = | 11731 32 | × | 50 10239 |
| = | 11731 16 | × | 25 10239 |
We obtained :
| q | = | 293275 163824 |
Convert the result to decimal form :
| q | = | 1.790183 |