QuestionAugust 25, 2025

Solve for v. 3vert 2v-5vert +9=36 If there is more than one solution , separate them with commas. If there is no solution, click on "No solution". I v= square

Solve for v. 3vert 2v-5vert +9=36 If there is more than one solution , separate them with commas. If there is no solution, click on "No solution". I v= square
Solve for v.
3vert 2v-5vert +9=36
If there is more than one solution , separate them with commas.
If there is no solution, click on "No solution".
I v= square

Solution
4.2(176 votes)

Answer

v = 7, -2 Explanation 1. Isolate the absolute value Subtract 9 from both sides: 3\vert 2v-5\vert = 27. 2. Divide by 3 Divide both sides by 3: \vert 2v-5\vert = 9. 3. Solve the absolute value equation Set up two equations: 2v-5 = 9 and 2v-5 = -9. 4. Solve each equation For 2v-5 = 9: Add 5 to both sides, 2v = 14. Divide by 2, v = 7. For 2v-5 = -9: Add 5 to both sides, 2v = -4. Divide by 2, v = -2.

Explanation

1. Isolate the absolute value<br /> Subtract 9 from both sides: $3\vert 2v-5\vert = 27$.<br />2. Divide by 3<br /> Divide both sides by 3: $\vert 2v-5\vert = 9$.<br />3. Solve the absolute value equation<br /> Set up two equations: $2v-5 = 9$ and $2v-5 = -9$.<br />4. Solve each equation<br /> For $2v-5 = 9$: Add 5 to both sides, $2v = 14$. Divide by 2, $v = 7$.<br /> For $2v-5 = -9$: Add 5 to both sides, $2v = -4$. Divide by 2, $v = -2$.
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