What is the value of m in the quadratic equation x2 + mx

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What is the value of m in the quadratic equation x² + mx + 24 = 0 if one of its roots is (3/2)

Putting x =	3	in x² + mx + 24 = 0
	2

	3		²	+ m ×	3	+ 24 = 0
	2				2

⇒	9	+	3m	+ 24 = 0
	4		2

⇒	3m	= −		24 +	9
	2				4

⇒	3m	= −		96 + 9
	2			4

⇒	3m	= −		105
	2			4

⇒ m = −		105	×	2
		4		3

−	35
	2