Question

solve for u.
-6|u + 3| = -66
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Divide both sides by -6

To isolate the absolute value expression, we divide both sides of the equation \(-6|u + 3|=-66\) by \(-6\).

$$ \frac{-6|u + 3|}{-6}=\frac{-66}{-6} $$

Simplifying both sides, we get \(|u + 3| = 11\).

Step2: Solve the absolute value equation

The absolute value equation \(|u + 3| = 11\) means that \(u + 3 = 11\) or \(u + 3=-11\) (because if \(|x| = a\) where \(a>0\), then \(x = a\) or \(x=-a\)).

Sub - step 2.1: Solve \(u + 3 = 11\)

Subtract 3 from both sides of the equation \(u + 3 = 11\):
\(u=11 - 3\)
\(u = 8\)

Sub - step 2.2: Solve \(u + 3=-11\)

Subtract 3 from both sides of the equation \(u + 3=-11\):
\(u=-11 - 3\)
\(u=-14\)

Answer:

8, -14