3v(v+7)(v-3)=0

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Solution for 3v(v+7)(v-3)=0 equation: 


Simplifying
3v(v + 7)(v + -3) = 0

Reorder the terms:
3v(7 + v)(v + -3) = 0

Reorder the terms:
3v(7 + v)(-3 + v) = 0

Multiply (7 + v) * (-3 + v)
3v(7(-3 + v) + v(-3 + v)) = 0
3v((-3 * 7 + v * 7) + v(-3 + v)) = 0
3v((-21 + 7v) + v(-3 + v)) = 0
3v(-21 + 7v + (-3 * v + v * v)) = 0
3v(-21 + 7v + (-3v + v2)) = 0

Combine like terms: 7v + -3v = 4v
3v(-21 + 4v + v2) = 0
(-21 * 3v + 4v * 3v + v2 * 3v) = 0
(-63v + 12v2 + 3v3) = 0

Solving
-63v + 12v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(-21 + 4v + v2) = 0

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

Ignore the factor 3.

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 '(-7 + -1v)' equal to zero and attempt to solve:

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 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 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Divide each side by '-1'.
v = -7

Simplifying
v = -7

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {0, -7, 3}

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