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12/x-15/x+2=0,5 equation

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Numerical solution:

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The solution

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12   15          
-- - -- + 2 = 1/2
x    x           
$$\left(- \frac{15}{x} + \frac{12}{x}\right) + 2 = \frac{1}{2}$$
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
The graph
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Numerical answer [src]
x1 = 2.0
x1 = 2.0