Question

Aflati cel mai mare numar intreg x, care este solutie a inecuatiei:
(2x+3)^2+3x(x-1)+(1-x)(7x+6)<0

Answer 1

$(2x+3)^{2} + 3x(x-1) + (1-x)(7x+6) < 0\\4x^{2} + 12x + 9 + 3x^{2} -3x + 7x + 6 -7x^{2} - 6x < 0\\10x + 15 < 0\\x < -\frac{15}{10} = -1.5 \implies \boxed{x = -2}$