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Solve for $u$ . $\newline$ $9u^2 + 40u = 0$ $\newline$ Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $\newline$ $u = \_\_$

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Solve a quadratic equation by factoring

Full solution

Q. Solve for

u

.

\newline

9u^2 + 40u = 0

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

u = \_\_

Factor out common factor: Factor out the common factor $u$ . $\newline$ Factor out $u$ from $9u^2$ and $40u$ . $\newline$ $u(9u + 40) = 0$
Set equal to zero: Set each factor equal to zero to find the values of $u$ . $u = 0$ or $9u + 40 = 0$
Solve for $u$ : Solve the equation $9u + 40 = 0$ for $u$ . $\newline$ Subtract $40$ from both sides to isolate the term with $u$ . $\newline$ $9u = -40$ $\newline$ Divide both sides by $9$ to solve for $u$ . $\newline$ $u = -\frac{40}{9}$

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