(x-6)3=25(x+6) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
(x-6)*3 = 25*(x+6)
Expand brackets in the left part
x*3-6*3 = 25*(x+6)
Expand brackets in the right part
x*3-6*3 = 25*x+25*6
Move free summands (without x)
from left part to right part, we given:
$$3 x = 25 x + 168$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-22\right) x = 168$$
Divide both parts of the equation by -22
x = 168 / (-22)
We get the answer: x = -84/11
$$x_{1} = - \frac{84}{11}$$
Sum and product of roots
[src]
$$- \frac{84}{11}$$
$$- \frac{84}{11}$$
$$- \frac{84}{11}$$
$$- \frac{84}{11}$$