10x−4(x+1)=−2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
10*x-4*(x+1) = -2*x
Expand brackets in the left part
10*x-4*x-4*1 = -2*x
Looking for similar summands in the left part:
-4 + 6*x = -2*x
Move free summands (without x)
from left part to right part, we given:
$$6 x = 4 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$8 x = 4$$
Divide both parts of the equation by 8
x = 4 / (8)
We get the answer: x = 1/2
Sum and product of roots
[src]
$$\frac{1}{2}$$
$$\frac{1}{2}$$
$$\frac{1}{2}$$
$$\frac{1}{2}$$