9v^6+24v^5+16v^4=0

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Solution for 9v^6+24v^5+16v^4=0 equation:


Simplifying
9v6 + 24v5 + 16v4 = 0

Reorder the terms:
16v4 + 24v5 + 9v6 = 0

Solving
16v4 + 24v5 + 9v6 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v4'.
v4(16 + 24v + 9v2) = 0

Factor a trinomial.
v4((4 + 3v)(4 + 3v)) = 0

Subproblem 1

Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 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 '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 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 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333

Subproblem 3

Set the factor '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 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 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333

Solution

v = {-1.333333333, -1.333333333}

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