6v^7+20v^6+14v^5=

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Solution for 6v^7+20v^6+14v^5= equation: 


Simplifying
6v7 + 20v6 + 14v5 = 0

Reorder the terms:
14v5 + 20v6 + 6v7 = 0

Solving
14v5 + 20v6 + 6v7 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v5'.
2v5(7 + 10v + 3v2) = 0

Factor a trinomial.
2v5((7 + 3v)(1 + v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve:

Simplifying
v5 = 0

Solving
v5 = 0

Move all terms containing v to the left, all other terms to the right.

Simplifying
v5 = 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 + 3v)' equal to zero and attempt to solve:

Simplifying
7 + 3v = 0

Solving
7 + 3v = 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 + 3v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3v = 0 + -7
3v = 0 + -7

Combine like terms: 0 + -7 = -7
3v = -7

Divide each side by '3'.
v = -2.333333333

Simplifying
v = -2.333333333

Subproblem 3
Set the factor '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 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 + v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v = 0 + -1
v = 0 + -1

Combine like terms: 0 + -1 = -1
v = -1

Simplifying
v = -1
Solution
v = {-2.333333333, -1}

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