5v(v-9)(v-8)=0

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Solution for 5v(v-9)(v-8)=0 equation: 


Simplifying
5v(v + -9)(v + -8) = 0

Reorder the terms:
5v(-9 + v)(v + -8) = 0

Reorder the terms:
5v(-9 + v)(-8 + v) = 0

Multiply (-9 + v) * (-8 + v)
5v(-9(-8 + v) + v(-8 + v)) = 0
5v((-8 * -9 + v * -9) + v(-8 + v)) = 0
5v((72 + -9v) + v(-8 + v)) = 0
5v(72 + -9v + (-8 * v + v * v)) = 0
5v(72 + -9v + (-8v + v2)) = 0

Combine like terms: -9v + -8v = -17v
5v(72 + -17v + v2) = 0
(72 * 5v + -17v * 5v + v2 * 5v) = 0
(360v + -85v2 + 5v3) = 0

Solving
360v + -85v2 + 5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(72 + -17v + v2) = 0

Factor a trinomial.
5v((8 + -1v)(9 + -1v)) = 0

Ignore the factor 5.

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 '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8

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, 8, 9}

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