Question

Solve the equation
d(d-4)(d+6)²=0

Answer 1

Answer:

d = 0, 4, -6

Step-by-step explanation:

d(d-4)(d+6)²=0

We can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be equal to zero.

d(d-4)(d+6)²=0

1) d = 0

2) d - 4 = 0

d = 4

3) d + 6 = 0

d = -6

Answer 2

Answer:

To solve the equation \(d(d-4)(d+6)^2 = 0\), we need to find the values of \(d\) that make the expression equal to zero. This equation implies that either \(d = 0\), \(d - 4 = 0\), or \(d + 6 = 0\).

1. If \(d = 0\), then the first factor \(d\) is zero.

2. If \(d - 4 = 0\), then \(d = 4\).

3. If \(d + 6 = 0\), then \(d = -6\).

Thus, the solutions to the equation \(d(d-4)(d+6)^2 = 0\) are \(d = 0\), \(d = 4\), and \(d = -6\).