v(x+5)(x^2-7x+12)=0

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Solution for v(x+5)(x^2-7x+12)=0 equation: 


Simplifying
v(x + 5)(x2 + -7x + 12) = 0

Reorder the terms:
v(5 + x)(x2 + -7x + 12) = 0

Reorder the terms:
v(5 + x)(12 + -7x + x2) = 0

Multiply (5 + x) * (12 + -7x + x2)
v(5(12 + -7x + x2) + x(12 + -7x + x2)) = 0
v((12 * 5 + -7x * 5 + x2 * 5) + x(12 + -7x + x2)) = 0
v((60 + -35x + 5x2) + x(12 + -7x + x2)) = 0
v(60 + -35x + 5x2 + (12 * x + -7x * x + x2 * x)) = 0
v(60 + -35x + 5x2 + (12x + -7x2 + x3)) = 0

Reorder the terms:
v(60 + -35x + 12x + 5x2 + -7x2 + x3) = 0

Combine like terms: -35x + 12x = -23x
v(60 + -23x + 5x2 + -7x2 + x3) = 0

Combine like terms: 5x2 + -7x2 = -2x2
v(60 + -23x + -2x2 + x3) = 0
(60 * v + -23x * v + -2x2 * v + x3 * v) = 0
(60v + -23vx + -2vx2 + vx3) = 0

Solving
60v + -23vx + -2vx2 + vx3 = 0

Solving for variable 'v'.

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

Factor out the Greatest Common Factor (GCF), 'v'.
v(60 + -23x + -2x2 + x3) = 0


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

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(60 + -23x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
60 + -23x + -2x2 + x3 = 0

Solving
60 + -23x + -2x2 + x3 = 0

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

Add '-60' to each side of the equation.
60 + -23x + -2x2 + -60 + x3 = 0 + -60

Reorder the terms:
60 + -60 + -23x + -2x2 + x3 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -23x + -2x2 + x3 = 0 + -60
-23x + -2x2 + x3 = 0 + -60

Combine like terms: 0 + -60 = -60
-23x + -2x2 + x3 = -60

Add '23x' to each side of the equation.
-23x + -2x2 + 23x + x3 = -60 + 23x

Reorder the terms:
-23x + 23x + -2x2 + x3 = -60 + 23x

Combine like terms: -23x + 23x = 0
0 + -2x2 + x3 = -60 + 23x
-2x2 + x3 = -60 + 23x

Add '2x2' to each side of the equation.
-2x2 + 2x2 + x3 = -60 + 23x + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 + x3 = -60 + 23x + 2x2
x3 = -60 + 23x + 2x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = -60 + 23x + 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = -60 + 23x + 2x2 + -1x3

Simplifying
0 = -60 + 23x + 2x2 + -1x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
v = {0}

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