9/(x-2)=9/2 equation
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The solution
Detail solution
Given the equation:
$$\frac{9}{x - 2} = \frac{9}{2}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 9
b1 = -2 + x
a2 = 1
b2 = 2/9
so we get the equation
$$9 \cdot \frac{2}{9} = 1 \left(x - 2\right)$$
$$2 = x - 2$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - 4$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -4$$
Divide both parts of the equation by -1
x = -4 / (-1)
We get the answer: x = 4
Sum and product of roots
[src]
$$0 + 4$$
$$4$$
$$1 \cdot 4$$
$$4$$