Question

solve for u .
(6u - 12)(u² - u - 2) = 0
(if there is more than one solution, separate them with commas.)
u =

Explanation:

Step1: Solve \(6u - 12 = 0\)

To solve \(6u - 12 = 0\), we add 12 to both sides: \(6u = 12\). Then divide both sides by 6: \(u=\frac{12}{6}=2\).

Step2: Solve \(u^2 - u - 2 = 0\)

Factor the quadratic equation: \(u^2 - u - 2=(u - 2)(u + 1)=0\).
Set each factor equal to zero:

• For \(u - 2 = 0\), we get \(u = 2\).
• For \(u + 1 = 0\), we get \(u=-1\).

Answer:

\(2, -1\)