18v^9+33v^8+14v^7=0

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Solution for 18v^9+33v^8+14v^7=0 equation:


Simplifying
18v9 + 33v8 + 14v7 = 0

Reorder the terms:
14v7 + 33v8 + 18v9 = 0

Solving
14v7 + 33v8 + 18v9 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v7'.
v7(14 + 33v + 18v2) = 0

Factor a trinomial.
v7((7 + 6v)(2 + 3v)) = 0

Subproblem 1

Set the factor 'v7' equal to zero and attempt to solve: Simplifying v7 = 0 Solving v7 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v7 = 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 '(7 + 6v)' equal to zero and attempt to solve: Simplifying 7 + 6v = 0 Solving 7 + 6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = 0 + -7 6v = 0 + -7 Combine like terms: 0 + -7 = -7 6v = -7 Divide each side by '6'. v = -1.166666667 Simplifying v = -1.166666667

Subproblem 3

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

Solution

v = {-1.166666667, -0.6666666667}

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