Question

hw sec. 2.6
score: 1/8 1/8 answered
question 2
solve for x:
300 = |300x + 500|
x =
question help: video ebook

Explanation:

Step1: Apply absolute value definition

If \(|A| = B\) (\(B\geq0\)), then \(A = B\) or \(A=-B\). So for \(300 = |300x + 500|\), we have two cases:
Case 1: \(300x + 500 = 300\)
Case 2: \(300x + 500=-300\)

Step2: Solve Case 1

Subtract 500 from both sides:
\(300x=300 - 500\)
\(300x=-200\)
Divide both sides by 300:
\(x=\frac{-200}{300}=\frac{-2}{3}\)

Step3: Solve Case 2

Subtract 500 from both sides:
\(300x=-300 - 500\)
\(300x=-800\)
Divide both sides by 300:
\(x=\frac{-800}{300}=\frac{-8}{3}\)

Answer:

\(x = \frac{-2}{3}\) or \(x=\frac{-8}{3}\)