12/(x+5)=-12/5 equation
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The solution
Detail solution
Given the equation:
$$\frac{12}{x + 5} = - \frac{12}{5}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 12
b1 = 5 + x
a2 = 1
b2 = -5/12
so we get the equation
$$\frac{\left(-5\right) 12}{12} = x + 5$$
$$-5 = x + 5$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 10$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 10$$
Divide both parts of the equation by -1
x = 10 / (-1)
We get the answer: x = -10
Sum and product of roots
[src]
$$-10$$
$$-10$$
$$-10$$
$$-10$$