Question

solve for y.
3y² + 15y = 0
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
y =
(there is a virtual keyboard image with options like fraction, mixed number, no solution, decimal, square root, undo, and clear buttons)

Explanation:

Step1: Factor out the GCF

Factor out \(3y\) from \(3y^2 + 15y\), we get \(3y(y + 5)=0\).

Step2: Apply the zero - product property

The zero - product property states that if \(ab = 0\), then either \(a = 0\) or \(b = 0\). So we set each factor equal to zero:

• For \(3y=0\), divide both sides by 3, we have \(y = 0\).
• For \(y + 5=0\), subtract 5 from both sides, we get \(y=- 5\).

Answer:

\(0,-5\)