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 = -10v
3v(21 + -10v + v2) = 0
(21 * 3v + -10v * 3v + v2 * 3v) = 0
(63v + -30v2 + 3v3) = 0

Solving
63v + -30v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(21 + -10v + v2) = 0

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

Subproblem 3
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
Solution
v = {0, 3, 7}

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