8v(v+3)=0

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Solution for 8v(v+3)=0 equation:


Simplifying
8v(v + 3) = 0

Reorder the terms:
8v(3 + v) = 0
(3 * 8v + v * 8v) = 0
(24v + 8v2) = 0

Solving
24v + 8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '8v'.
8v(3 + v) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0

Subproblem 2

Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3

Solution

v = {0, -3}

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