v^3+20v^2+100v=

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Solution for v^3+20v^2+100v= equation:


Simplifying
v3 + 20v2 + 100v = 0

Reorder the terms:
100v + 20v2 + v3 = 0

Solving
100v + 20v2 + v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(100 + 20v + v2) = 0

Factor a trinomial.
v((10 + v)(10 + v)) = 0

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 '(10 + v)' equal to zero and attempt to solve: Simplifying 10 + v = 0 Solving 10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + v = 0 + -10 v = 0 + -10 Combine like terms: 0 + -10 = -10 v = -10 Simplifying v = -10

Subproblem 3

Set the factor '(10 + v)' equal to zero and attempt to solve: Simplifying 10 + v = 0 Solving 10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + v = 0 + -10 v = 0 + -10 Combine like terms: 0 + -10 = -10 v = -10 Simplifying v = -10

Solution

v = {0, -10, -10}

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