-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 = -2v
-3v(-63 + -2v + v2) = 0
(-63 * -3v + -2v * -3v + v2 * -3v) = 0
(189v + 6v2 + -3v3) = 0

Solving
189v + 6v2 + -3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(63 + 2v + -1v2) = 0

Factor a trinomial.
3v((9 + -1v)(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 + -1v)' equal to zero and attempt to solve:

Simplifying
9 + -1v = 0

Solving
9 + -1v = 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 + -1v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1v = 0 + -9
-1v = 0 + -9

Combine like terms: 0 + -9 = -9
-1v = -9

Divide each side by '-1'.
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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