Question

solve for v.
|2v + 6| = 0
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Recall absolute value property

The absolute value equation \(|x| = 0\) implies \(x = 0\). So for \(|2v + 6| = 0\), we set \(2v+6 = 0\).

Step2: Solve linear equation

Subtract 6 from both sides: \(2v+6 - 6=0 - 6\), which simplifies to \(2v=-6\). Then divide both sides by 2: \(\frac{2v}{2}=\frac{-6}{2}\), so \(v = - 3\).

Answer:

\(v=-3\)