Factor out common term: Factor out the common term h from the equation. We can factor h from both terms in the equation h^2 + 24h = 0 to get h(h + 24) = 0.Apply zero-product property: Apply the zero-product property. 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: h = 0 and h + 24 = 0.Solve for h: Solve each equation for h. For the first factor, we already have h = 0. For the second factor, we subtract 24 from both sides to get h = -24.

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Solve for $h$ . $\newline$ $h^2 + 24h = 0$ $\newline$ Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $\newline$ $h =$ _____

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Algebra 2

Complementary angle identities

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Q. Solve for

h

\newline

h^2 + 24h = 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

h =

_____

Factor out common term: Factor out the common term $h$ from the equation. $\newline$ We can factor $h$ from both terms in the equation $h^2 + 24h = 0$ to get $h(h + 24) = 0$ .
Apply zero-product property: Apply the zero-product property. $\newline$ 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: $h = 0$ and $h + 24 = 0$ .
Solve for $h$ : Solve each equation for $h$ . $\newline$ For the first factor, we already have $h = 0$ . For the second factor, we subtract $24$ from both sides to get $h = -24$ .