Question

solve for q. separate multiple answers with a comma. (16q - 17)(28q - 3) = 0

Explanation:

Step1: Apply zero - product property

If the product of two factors is zero, then at least one of the factors must be zero. So we set each factor equal to zero:
\(16q - 17 = 0\) or \(28q - 3 = 0\)

Step2: Solve \(16q - 17 = 0\) for \(q\)

Add 17 to both sides of the equation:
\(16q=17\)
Divide both sides by 16:
\(q = \frac{17}{16}\)

Step3: Solve \(28q - 3 = 0\) for \(q\)

Add 3 to both sides of the equation:
\(28q = 3\)
Divide both sides by 28:
\(q=\frac{3}{28}\)

Answer:

\(\frac{17}{16},\frac{3}{28}\)