10v^5-32v^4+6v^3=0

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Solution for 10v^5-32v^4+6v^3=0 equation:


Simplifying
10v5 + -32v4 + 6v3 = 0

Reorder the terms:
6v3 + -32v4 + 10v5 = 0

Solving
6v3 + -32v4 + 10v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v3'.
2v3(3 + -16v + 5v2) = 0

Factor a trinomial.
2v3((1 + -5v)(3 + -1v)) = 0

Ignore the factor 2.

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 '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2

Subproblem 3

Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3

Solution

v = {0.2, 3}

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