11/(x+4)=-11/7 equation
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The solution
Detail solution
Given the equation:
$$\frac{11}{x + 4} = - \frac{11}{7}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 11
b1 = 4 + x
a2 = 1
b2 = -7/11
so we get the equation
$$\frac{\left(-7\right) 11}{11} = x + 4$$
$$-7 = x + 4$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 11$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 11$$
Divide both parts of the equation by -1
x = 11 / (-1)
We get the answer: x = -11
Sum and product of roots
[src]
$$-11$$
$$-11$$
$$-11$$
$$-11$$