(2x+1)(x-5)
(2x+1)(x-5) < 2(2(x+2)(x-4)
<=> 2x² - 10x + x - 5 < 4( x² - 4x + 2x - 8 )
<=> 2x² - 9x - 5 < 4( x² - 2x - 8 )
<=> 2x² - 9x - 5 < 4x² - 8x - 32
<=> 2x² + x - 27 > 0
-1 - √217 -1 + √217
<=> x < ▬▬▬▬▬ V x > ▬▬▬▬▬
4 4
Comments
(2x+1)(x-5) < 2(2(x+2)(x-4)
<=> 2x² - 10x + x - 5 < 4( x² - 4x + 2x - 8 )
<=> 2x² - 9x - 5 < 4( x² - 2x - 8 )
<=> 2x² - 9x - 5 < 4x² - 8x - 32
<=> 2x² + x - 27 > 0
-1 - √217 -1 + √217
<=> x < ▬▬▬▬▬ V x > ▬▬▬▬▬
4 4