-3v(v+7)(v+9)=0

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Solution for -3v(v+7)(v+9)=0 equation: 


Simplifying
-3v(v + 7)(v + 9) = 0

Reorder the terms:
-3v(7 + v)(v + 9) = 0

Reorder the terms:
-3v(7 + v)(9 + v) = 0

Multiply (7 + v) * (9 + v)
-3v(7(9 + v) + v(9 + v)) = 0
-3v((9 * 7 + v * 7) + v(9 + v)) = 0
-3v((63 + 7v) + v(9 + v)) = 0
-3v(63 + 7v + (9 * v + v * v)) = 0
-3v(63 + 7v + (9v + v2)) = 0

Combine like terms: 7v + 9v = 16v
-3v(63 + 16v + v2) = 0
(63 * -3v + 16v * -3v + v2 * -3v) = 0
(-189v + -48v2 + -3v3) = 0

Solving
-189v + -48v2 + -3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-3v'.
-3v(63 + 16v + v2) = 0

Factor a trinomial.
-3v((9 + v)(7 + v)) = 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 '(9 + v)' equal to zero and attempt to solve:

Simplifying
9 + v = 0

Solving
9 + v = 0

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

Add '-9' to each side of the equation.
9 + -9 + v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + v = 0 + -9
v = 0 + -9

Combine like terms: 0 + -9 = -9
v = -9

Simplifying
v = -9

Subproblem 3
Set the factor '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

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

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

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

Simplifying
v = -7
Solution
v = {0, -9, -7}

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