Question
Solve for \( u \). \[ 2(2 u+9)=50 \] Simplify your answer as much as possible. \( u=\square \)
Ask by Black Guzman. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = 8 \)
Solution
To solve for \( u \) in the equation:
\[
2(2u + 9) = 50
\]
**Step 1:** Expand the left side:
\[
4u + 18 = 50
\]
**Step 2:** Subtract 18 from both sides:
\[
4u = 32
\]
**Step 3:** Divide both sides by 4:
\[
u = 8
\]
So, the simplified solution is:
\[
u = 8
\]
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Simplify this solution Bonus Knowledge
First, let's distribute the \( 2 \) on the left side of the equation: \[ 2(2u + 9) = 4u + 18 \] Now, we set the equation equal to \( 50 \): \[ 4u + 18 = 50 \] Next, we'll subtract \( 18 \) from both sides to isolate the term with \( u \): \[ 4u = 50 - 18 \] \[ 4u = 32 \] Now, divide both sides by \( 4 \) to solve for \( u \): \[ u = \frac{32}{4} \] \[ u = 8 \] Thus, the solution is: \( u=8 \)
