4v^5(v^2-4v+14)=

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Solution for 4v^5(v^2-4v+14)= equation: 


Simplifying
4v5(v2 + -4v + 14) = 0

Reorder the terms:
4v5(14 + -4v + v2) = 0
(14 * 4v5 + -4v * 4v5 + v2 * 4v5) = 0
(56v5 + -16v6 + 4v7) = 0

Solving
56v5 + -16v6 + 4v7 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v5'.
4v5(14 + -4v + v2) = 0

Ignore the factor 4.

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 '(14 + -4v + v2)' equal to zero and attempt to solve:

Simplifying
14 + -4v + v2 = 0

Solving
14 + -4v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -4v + -14 + v2 = 0 + -14

Reorder the terms:
14 + -14 + -4v + v2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -4v + v2 = 0 + -14
-4v + v2 = 0 + -14

Combine like terms: 0 + -14 = -14
-4v + v2 = -14

The v term is -4v.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4v + 4 + v2 = -14 + 4

Reorder the terms:
4 + -4v + v2 = -14 + 4

Combine like terms: -14 + 4 = -10
4 + -4v + v2 = -10

Factor a perfect square on the left side:
(v + -2)(v + -2) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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