5v^2+10v=0

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Solution for 5v^2+10v=0 equation:


Simplifying
5v2 + 10v = 0

Reorder the terms:
10v + 5v2 = 0

Solving
10v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(2 + v) = 0

Ignore the factor 5.

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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2

Solution

v = {0, -2}

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