what are the solutions of 3(x - 4)(2x - 3) = 0? check all that apply.\n-4\n-3\n-\\frac{2}{3}\n\\frac{3}{2}\n3…
what are the solutions of 3(x - 4)(2x - 3) = 0? check all that apply.\n-4\n-3\n-\\frac{2}{3}\n\\frac{3}{2}\n3\n4
Answer
Explanation:
Step1: Apply zero - product property
If (ab = 0), then either (a = 0) or (b = 0). For (3(x - 4)(2x - 3)=0), since (3\neq0), we set (x - 4=0) or (2x - 3 = 0).
Step2: Solve (x - 4=0)
Add 4 to both sides: (x=4).
Step3: Solve (2x - 3=0)
Add 3 to both sides: (2x=3). Then divide both sides by 2: (x = \frac{3}{2}).
Answer:
(\frac{3}{2}), (4)