12/x-15/x+2=0,5 equation
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The solution
Detail solution
Given the equation:
$$\left(- \frac{15}{x} + \frac{12}{x}\right) + 2 = \frac{1}{2}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1
b1 = 2/3
a2 = 1
b2 = x/3
so we get the equation
$$\frac{x}{3} = \frac{2}{3}$$
$$\frac{x}{3} = \frac{2}{3}$$
Divide both parts of the equation by 1/3
x = 2/3 / (1/3)
We get the answer: x = 2
Sum and product of roots
[src]
$$2$$
$$2$$
$$2$$
$$2$$