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(x-5)*(x+5)<3*(x+2)-2*x*(x+3) inequation

A inequation with variable

The solution

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(x - 5)*(x + 5) < 3*(x + 2) - 2*x*(x + 3)
$$\left(x - 5\right) \left(x + 5\right) < - 2 x \left(x + 3\right) + 3 \left(x + 2\right)$$
(x - 5)*(x + 5) < -2*x*(x + 3) + 3*(x + 2)
Solving inequality on a graph
Rapid solution [src]
   /            _____          _____    \
   |      1   \/ 381     1   \/ 381     |
And|x < - - + -------, - - - ------- < x|
   \      2      6       2      6       /
$$x < - \frac{1}{2} + \frac{\sqrt{381}}{6} \wedge - \frac{\sqrt{381}}{6} - \frac{1}{2} < x$$
(x < -1/2 + sqrt(381)/6)∧(-1/2 - sqrt(381)/6 < x)
Rapid solution 2 [src]
         _____          _____ 
   1   \/ 381     1   \/ 381  
(- - - -------, - - + -------)
   2      6       2      6    
$$x\ in\ \left(- \frac{\sqrt{381}}{6} - \frac{1}{2}, - \frac{1}{2} + \frac{\sqrt{381}}{6}\right)$$
x in Interval.open(-sqrt(381)/6 - 1/2, -1/2 + sqrt(381)/6)