(x+10)2=(5-x)2 equation
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The solution
Detail solution
Given the linear equation:
(x+10)*2 = (5-x)*2
Expand brackets in the left part
x*2+10*2 = (5-x)*2
Expand brackets in the right part
x*2+10*2 = 5*2-x*2
Move free summands (without x)
from left part to right part, we given:
$$2 x = - 2 x - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = -10$$
Divide both parts of the equation by 4
x = -10 / (4)
We get the answer: x = -5/2
Sum and product of roots
[src]
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$x_{1} = - \frac{5}{2}$$