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Solve for $u$ . $\newline$ $(u - 3)(u + 1) = 0$ $\newline$ 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 - 3)(u + 1) = 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 $(u - 3)(u + 1) = 0$ . The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero separately. $u - 3 = 0$ or $u + 1 = 0$
Solve for $u = 3$ : Solve the first equation $u - 3 = 0$ for $u$ . Add $3$ to both sides of the equation to isolate $u$ . $u = 3$
Solve for $u = -1$ : Solve the second equation $u + 1 = 0$ for $u$ . $\newline$ Subtract $1$ from both sides of the equation to isolate $u$ . $\newline$ $u = -1$

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