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Solve for $n$ . $\newline$ $(n + 6)(n + 2) = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $n =$ _ or $n =$ _

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Solve a quadratic equation using the zero product property

Full solution

Q. Solve for

n

.

\newline

(n + 6)(n + 2) = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

n =

_____ or

n =

_____

Identify Property: Identify the property to use in solving the given equation. $\newline$ Property: Zero product property, which states that if the product of two factors is $0$ , then at least one of the factors must be $0$ .
Apply Zero Product Property: Apply the zero product property to each factor. $\newline$ Set each factor equal to zero. $\newline$ $(n + 6) = 0$ and $(n + 2) = 0$
Solve for $n$ ( $n + 6$ ): Solve for $n$ in the equation $(n + 6) = 0$ . $\newline$ Subtract $6$ from both sides of the equation. $\newline$ $n + 6 - 6 = 0 - 6$ $\newline$ $n = -6$
Solve for $n$ ( $n + 2$ ): Solve for $n$ in the equation $(n + 2) = 0$ . $\newline$ Subtract $2$ from both sides of the equation. $\newline$ $n + 2 - 2 = 0 - 2$ $\newline$ $n = -2$

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h(t) = -16t^{2} + 144

represents the height,

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\newline

(A)

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\newline

(B)

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(C)

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