0,1x+9=0,2x-4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
(1/10)*x+9 = (1/5)*x-4
Expand brackets in the left part
1/10x+9 = (1/5)*x-4
Expand brackets in the right part
1/10x+9 = 1/5x-4
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{10} = \frac{x}{5} - 13$$
Move the summands with the unknown x
from the right part to the left part:
$$- \frac{x}{10} = -13$$
Divide both parts of the equation by -1/10
x = -13 / (-1/10)
We get the answer: x = 130
Sum and product of roots
[src]
$$0 + 130$$
$$130$$
$$1 \cdot 130$$
$$130$$