Question

which are solutions of the equation (x + 5)(x − 3) = 0? check all that apply. x = -15, x = -5, x = -3, x = 2, x = 3, x = 5

Explanation:

Step1: Apply Zero Product Property

The Zero Product Property states that if \(ab = 0\), then either \(a = 0\) or \(b = 0\) (or both). For the equation \((x + 5)(x - 3)=0\), we set each factor equal to zero.

Step2: Solve for \(x\) when \(x + 5 = 0\)

Subtract 5 from both sides: \(x+5 - 5=0 - 5\), so \(x=-5\).

Step3: Solve for \(x\) when \(x - 3 = 0\)

Add 3 to both sides: \(x - 3+3=0 + 3\), so \(x = 3\).

Answer:

B. \(x = -5\), E. \(x = 3\)