(x+5)*(x-3)

+ inequation

Solve the inequality!

A inequation with variable

The solution

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

$$\left(x - 3\right) \left(x + 5\right) < x$$

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

Solving inequality on a graph

Rapid solution [src]

   /            ____          ____    \
   |      1   \/ 61     1   \/ 61     |
And|x < - - + ------, - - - ------ < x|
   \      2     2       2     2       /

$$x < - \frac{1}{2} + \frac{\sqrt{61}}{2} \wedge - \frac{\sqrt{61}}{2} - \frac{1}{2} < x$$

(x < -1/2 + sqrt(61)/2)∧(-1/2 - sqrt(61)/2 < x)

Rapid solution 2 [src]

         ____          ____ 
   1   \/ 61     1   \/ 61  
(- - - ------, - - + ------)
   2     2       2     2    

$$x\ in\ \left(- \frac{\sqrt{61}}{2} - \frac{1}{2}, - \frac{1}{2} + \frac{\sqrt{61}}{2}\right)$$

x in Interval.open(-sqrt(61)/2 - 1/2, -1/2 + sqrt(61)/2)