Solve (x−3)(4x+3)=0

Question

(
𝑥
−
3
)
(
4
𝑥
+
3
)
=
0
using the Zero Product Property.(2 points)
x=
𝑥
=


x=
𝑥
=

Answer 1

To solve the equation \((x - 3)(4x + 3) = 0\) using the Zero Product Property, we set each factor equal to zero:

1. Set the first factor equal to zero: \[ x - 3 = 0 \] Solving for \(x\): \[ x = 3 \]

2. Set the second factor equal to zero: \[ 4x + 3 = 0 \] Solving for \(x\): \[ 4x = -3 \] \[ x = -\frac{3}{4} \]

Thus, the solutions to the equation \((x - 3)(4x + 3) = 0\) are:

• \(x = 3\)
• \(x = -\frac{3}{4}\)

So the final answer is: \[ x = 3 \quad \text{and} \quad x = -\frac{3}{4} \]