2X^2+3X=27
2X^2+3X-27=0
(X-3)(2X+9)=0
X=3,X=-9/2
5x^3-3x^2-32x-12
=(5x^3-15x^2)+(12x^2-36x)+(4x-12)
=5x^2(x-3)+12x(x-3)+4(x-3)
=(x-3)(5x^2+12x+4)
=(x-3)(5x+2)(x+2)
2X^2+3X=27
2X^2+3X-27=0
(X-3)(2X+9)=0
X=3,X=-9/2
5x^3-3x^2-32x-12
=(5x^3-15x^2)+(12x^2-36x)+(4x-12)
=5x^2(x-3)+12x(x-3)+4(x-3)
=(x-3)(5x^2+12x+4)
=(x-3)(5x+2)(x+2)