solve for x.\n4x(x + 3) = 0\nwrite your answers as integers or fractions.\nx = or x =

solve for x.\n4x(x + 3) = 0\nwrite your answers as integers or fractions.\nx = or x =

solve for x.\n4x(x + 3) = 0\nwrite your answers as integers or fractions.\nx = or x =

Answer

Explanation:

Step1: Apply zero - product property

If (ab = 0), then (a=0) or (b = 0). For the equation (4x(x + 3)=0), we have two cases: Case 1: (4x=0). Case 2: (x + 3=0).

Step2: Solve for (x) in each case

  • For (4x=0), divide both sides by (4): (x=\frac{0}{4}=0).
  • For (x + 3=0), subtract (3) from both sides: (x=-3).

Answer:

(x = 0) or (x=-3)