Question

solve.
(2 + u)(5u + 8) = 0
(if there is more than one solution, separate them with commas.)
u =

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). For the equation \((2 + u)(5u+8)=0\), we set each factor equal to zero:

• Case 1: \(2 + u=0\)
• Case 2: \(5u + 8=0\)

Step2: Solve for \(u\) in Case 1

For \(2+u = 0\), subtract 2 from both sides of the equation:
\(u=0 - 2=- 2\)

Step3: Solve for \(u\) in Case 2

For \(5u + 8=0\), first subtract 8 from both sides:
\(5u=0 - 8=-8\)
Then divide both sides by 5:
\(u=\frac{-8}{5}=-1.6\)

Answer:

\(-2,-\frac{8}{5}\)