2v(v+1)(v-9)=0

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Solution for 2v(v+1)(v-9)=0 equation: 


Simplifying
2v(v + 1)(v + -9) = 0

Reorder the terms:
2v(1 + v)(v + -9) = 0

Reorder the terms:
2v(1 + v)(-9 + v) = 0

Multiply (1 + v) * (-9 + v)
2v(1(-9 + v) + v(-9 + v)) = 0
2v((-9 * 1 + v * 1) + v(-9 + v)) = 0
2v((-9 + 1v) + v(-9 + v)) = 0
2v(-9 + 1v + (-9 * v + v * v)) = 0
2v(-9 + 1v + (-9v + v2)) = 0

Combine like terms: 1v + -9v = -8v
2v(-9 + -8v + v2) = 0
(-9 * 2v + -8v * 2v + v2 * 2v) = 0
(-18v + -16v2 + 2v3) = 0

Solving
-18v + -16v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-9 + -8v + v2) = 0

Factor a trinomial.
2v((-1 + -1v)(9 + -1v)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -1v = 0

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

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

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

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

Simplifying
v = -1

Subproblem 3
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
Solution
v = {0, -1, 9}

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