-4v(v+1)(v-9)=0

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Solution for -4v(v+1)(v-9)=0 equation: 


Simplifying
-4v(v + 1)(v + -9) = 0

Reorder the terms:
-4v(1 + v)(v + -9) = 0

Reorder the terms:
-4v(1 + v)(-9 + v) = 0

Multiply (1 + v) * (-9 + v)
-4v(1(-9 + v) + v(-9 + v)) = 0
-4v((-9 * 1 + v * 1) + v(-9 + v)) = 0
-4v((-9 + 1v) + v(-9 + v)) = 0
-4v(-9 + 1v + (-9 * v + v * v)) = 0
-4v(-9 + 1v + (-9v + v2)) = 0

Combine like terms: 1v + -9v = -8v
-4v(-9 + -8v + v2) = 0
(-9 * -4v + -8v * -4v + v2 * -4v) = 0
(36v + 32v2 + -4v3) = 0

Solving
36v + 32v2 + -4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(9 + 8v + -1v2) = 0

Factor a trinomial.
4v((9 + -1v)(1 + v)) = 0

Ignore the factor 4.

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

Simplifying
1 + v = 0

Solving
1 + v = 0

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

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

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

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

Simplifying
v = -1
Solution
v = {0, 9, -1}

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