4v^3+v^2-5v=

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Solution for 4v^3+v^2-5v= equation:


Simplifying
4v3 + v2 + -5v = 0

Reorder the terms:
-5v + v2 + 4v3 = 0

Solving
-5v + v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-5 + v + 4v2) = 0

Factor a trinomial.
v((-5 + -4v)(1 + -1v)) = 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 '(-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

Subproblem 3

Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1

Solution

v = {0, -1.25, 1}

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