Question
Solve for \( u \). \[ \begin{array}{l}(u+5)(8 u-1)=0 \\ \text { Write your answers as integers or as proper or improper fractions in simplest form. } \\ u=\square \\ \text { Submit }\end{array} \]
Ask by Norris Hammond. in the United States
Dec 29,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = -5 \) or \( u = \frac{1}{8} \)
Solution
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The Deep Dive
To solve the equation \( (u+5)(8u-1)=0 \), we can set each factor to zero. 1. For the first factor, \( u + 5 = 0 \): \[ u = -5 \] 2. For the second factor, \( 8u - 1 = 0 \): \[ 8u = 1 \\ u = \frac{1}{8} \] Thus, the solutions are \( u = -5 \) and \( u = \frac{1}{8} \).