5v(v-1)(v+9)=0

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Solution for 5v(v-1)(v+9)=0 equation: 


Simplifying
5v(v + -1)(v + 9) = 0

Reorder the terms:
5v(-1 + v)(v + 9) = 0

Reorder the terms:
5v(-1 + v)(9 + v) = 0

Multiply (-1 + v) * (9 + v)
5v(-1(9 + v) + v(9 + v)) = 0
5v((9 * -1 + v * -1) + v(9 + v)) = 0
5v((-9 + -1v) + v(9 + v)) = 0
5v(-9 + -1v + (9 * v + v * v)) = 0
5v(-9 + -1v + (9v + v2)) = 0

Combine like terms: -1v + 9v = 8v
5v(-9 + 8v + v2) = 0
(-9 * 5v + 8v * 5v + v2 * 5v) = 0
(-45v + 40v2 + 5v3) = 0

Solving
-45v + 40v2 + 5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(-9 + 8v + v2) = 0

Factor a trinomial.
5v((-9 + -1v)(1 + -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 '(-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 + -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
Solution
v = {0, -9, 1}

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