5v^5(3v^2-4v-7)=0

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Solution for 5v^5(3v^2-4v-7)=0 equation: 


Simplifying
5v5(3v2 + -4v + -7) = 0

Reorder the terms:
5v5(-7 + -4v + 3v2) = 0
(-7 * 5v5 + -4v * 5v5 + 3v2 * 5v5) = 0
(-35v5 + -20v6 + 15v7) = 0

Solving
-35v5 + -20v6 + 15v7 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v5'.
5v5(-7 + -4v + 3v2) = 0

Factor a trinomial.
5v5((-1 + -1v)(7 + -3v)) = 0

Ignore the factor 5.

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 '(-1 + -1v)' equal to zero and attempt to solve:

Simplifying
-1 + -1v = 0

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

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

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

Divide each side by '-1'.
v = -1

Simplifying
v = -1

Subproblem 3
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
Solution
v = {-1, 2.333333333}

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