20v^3-41v^2+20v=

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Solution for 20v^3-41v^2+20v= equation:


Simplifying
20v3 + -41v2 + 20v = 0

Reorder the terms:
20v + -41v2 + 20v3 = 0

Solving
20v + -41v2 + 20v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(20 + -41v + 20v2) = 0

Factor a trinomial.
v((4 + -5v)(5 + -4v)) = 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 '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8

Subproblem 3

Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25

Solution

v = {0, 0.8, 1.25}

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