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Solve for $u$ . $\newline$ $u(u + 5) = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $u =$ _ or $u =$ _

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Solve a quadratic equation using the zero product property

Full solution

Q. Solve for

u

.

\newline

u(u + 5) = 0

\newline

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

\newline

u =

_____ or

u =

_____

Apply Zero Product Property: Apply the zero product property to the equation $u(u + 5) = 0$ . $\newline$ The zero product property states that if a product of two factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero separately. $\newline$ $u = 0$ or $u + 5 = 0$
Solve for $u = 0$ : Solve the first equation for $u$ . $u = 0$ This gives us the first value of $u$ .
Solve for $u = -5$ : Solve the second equation for $u$ . $u + 5 = 0$ Subtract $5$ from both sides to isolate $u$ . $u = -5$ This gives us the second value of $u$ .

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\newline

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\newline

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\newline

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\newline

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