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40,5:x=-9

40,5:x=-9 equation

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Numerical solution:

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The solution

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 81     
--- = -9
2*x     
$$\frac{81}{2 x} = -9$$
Detail solution
Given the equation:
$$\frac{81}{2 x} = -9$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1

b1 = 1/9

a2 = 1

b2 = -2*x/81

so we get the equation
$$- \frac{2 x}{81} = \frac{1}{9}$$
$$- \frac{2 x}{81} = \frac{1}{9}$$
Divide both parts of the equation by -2/81
x = 1/9 / (-2/81)

We get the answer: x = -9/2
The graph
Rapid solution [src]
x1 = -9/2
$$x_{1} = - \frac{9}{2}$$
x1 = -9/2
Sum and product of roots [src]
sum
-9/2
$$- \frac{9}{2}$$
=
-9/2
$$- \frac{9}{2}$$
product
-9/2
$$- \frac{9}{2}$$
=
-9/2
$$- \frac{9}{2}$$
-9/2
Numerical answer [src]
x1 = -4.5
x1 = -4.5
The graph
40,5:x=-9 equation