4v(v+2)(v-9)=0

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Solution for 4v(v+2)(v-9)=0 equation: 


Simplifying
4v(v + 2)(v + -9) = 0

Reorder the terms:
4v(2 + v)(v + -9) = 0

Reorder the terms:
4v(2 + v)(-9 + v) = 0

Multiply (2 + v) * (-9 + v)
4v(2(-9 + v) + v(-9 + v)) = 0
4v((-9 * 2 + v * 2) + v(-9 + v)) = 0
4v((-18 + 2v) + v(-9 + v)) = 0
4v(-18 + 2v + (-9 * v + v * v)) = 0
4v(-18 + 2v + (-9v + v2)) = 0

Combine like terms: 2v + -9v = -7v
4v(-18 + -7v + v2) = 0
(-18 * 4v + -7v * 4v + v2 * 4v) = 0
(-72v + -28v2 + 4v3) = 0

Solving
-72v + -28v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(-18 + -7v + v2) = 0

Factor a trinomial.
4v((-2 + -1v)(9 + -1v)) = 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 '(-2 + -1v)' equal to zero and attempt to solve:

Simplifying
-2 + -1v = 0

Solving
-2 + -1v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1v = 0 + 2
-1v = 0 + 2

Combine like terms: 0 + 2 = 2
-1v = 2

Divide each side by '-1'.
v = -2

Simplifying
v = -2

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, -2, 9}

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