Question

solve for h.
$h^2 - 3h = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
$h = \square$

Explanation:

Step1: Factor the equation

Factor out \( h \) from the left - hand side of the equation \( h^{2}-3h = 0 \). We get \( h(h - 3)=0 \).

Step2: Apply the zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both). In our factored form \( h(h - 3)=0 \), we set each factor equal to zero:

• When \( h=0 \), the equation \( h(h - 3)=0 \) is satisfied.
• When \( h - 3=0 \), we solve for \( h \) by adding 3 to both sides of the equation. So \( h=3 \).

Answer:

\( 0,3 \)