Solve (4x+5)(x−6)=0

Question

(
4
𝑥
+
5
)
(
𝑥
−
6
)
=
0
using the Zero Product Property.(2 points)
x=
𝑥
=


x=
𝑥
=

Answer 1

To solve the equation \((4x + 5)(x - 6) = 0\) using the Zero Product Property, we set each factor equal to zero.

1. Set \(4x + 5 = 0\): \[ 4x + 5 = 0 \] Subtract 5 from both sides: \[ 4x = -5 \] Divide by 4: \[ x = -\frac{5}{4} \]

2. Set \(x - 6 = 0\): \[ x - 6 = 0 \] Add 6 to both sides: \[ x = 6 \]

Thus, the solutions to the equation are: \[ x = -\frac{5}{4} \quad \text{and} \quad x = 6 \]