Question

Rezolvati inecuatia:
x(3x-1)+(2x+3)^2<8x(x+12)+(x-3)^2-2x^2+79

Answer 1

$x(3x-1)+(2x+3)^{2}<8x(x+12)+(x-^{2}-2x^{2}+79$
$3x^{2}-x+4x^{2}+12x+9<8x^{2}+96x+x^{2}-6x+9-2x^{2}+79$
$7x^{2}+11x<7x^{2}+90x+79$
$11x<90x+79$
$11x-90x<11$
$-79x<79$
$x>-1$

$x\in{0 ; 1 ; 2 ; 3 ; \infty}$