5v^3(v^2-3v+10)=0

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Solution for 5v^3(v^2-3v+10)=0 equation: 


Simplifying
5v3(v2 + -3v + 10) = 0

Reorder the terms:
5v3(10 + -3v + v2) = 0
(10 * 5v3 + -3v * 5v3 + v2 * 5v3) = 0
(50v3 + -15v4 + 5v5) = 0

Solving
50v3 + -15v4 + 5v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v3'.
5v3(10 + -3v + v2) = 0

Ignore the factor 5.

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 '(10 + -3v + v2)' equal to zero and attempt to solve:

Simplifying
10 + -3v + v2 = 0

Solving
10 + -3v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3v + -10 + v2 = 0 + -10

Reorder the terms:
10 + -10 + -3v + v2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3v + v2 = 0 + -10
-3v + v2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3v + v2 = -10

The v term is -3v.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3v + 2.25 + v2 = -10 + 2.25

Reorder the terms:
2.25 + -3v + v2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3v + v2 = -7.75

Factor a perfect square on the left side:
(v + -1.5)(v + -1.5) = -7.75

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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