6=8-5(7x-1) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
6 = 8-5*(7*x-1)
Expand brackets in the right part
6 = 8-5*7*x+5*1
Looking for similar summands in the right part:
6 = 13 - 35*x
Move free summands (without x)
from left part to right part, we given:
$$0 = 7 - 35 x$$
Move the summands with the unknown x
from the right part to the left part:
$$35 x = 7$$
Divide both parts of the equation by 35
x = 7 / (35)
We get the answer: x = 1/5
Sum and product of roots
[src]
$$\frac{1}{5}$$
$$\frac{1}{5}$$
$$\frac{1}{5}$$
$$\frac{1}{5}$$