[tex]\displaystyle\\ 3x^2+6x=27\\\\ 3x^2+6x-27=0\\\\\text{The discriminant is:}\\\\\Delta=b^2-4ac\\\\\Delta=6^2-4\cdot3\cdot(-27)\\\\\Delta=6^2+4\cdot3\cdot27\\\\\Delta=36+4\cdot81\\\\\Delta=36+324\\\\\boxed{\bf\Delta=360}[/tex]
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