9v^5-12v^4-12v^3=0

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Solution for 9v^5-12v^4-12v^3=0 equation:


Simplifying
9v5 + -12v4 + -12v3 = 0

Reorder the terms:
-12v3 + -12v4 + 9v5 = 0

Solving
-12v3 + -12v4 + 9v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v3'.
3v3(-4 + -4v + 3v2) = 0

Factor a trinomial.
3v3((-2 + -3v)(2 + -1v)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2 + -3v)' equal to zero and attempt to solve: Simplifying -2 + -3v = 0 Solving -2 + -3v = 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 + -3v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3v = 0 + 2 -3v = 0 + 2 Combine like terms: 0 + 2 = 2 -3v = 2 Divide each side by '-3'. v = -0.6666666667 Simplifying v = -0.6666666667

Subproblem 3

Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2

Solution

v = {-0.6666666667, 2}

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