9v(v)(v)=-45v(v)

Solution for 9v(v)(v)=-45v(v) equation:

Simplifying
9v(v)(v) = -45v(v)

Multiply v * v
9v2 * v = -45v(v)

Multiply v2 * v
9v3 = -45v(v)

Multiply v * v
9v3 = -45v2

Solving
9v3 = -45v2

Solving for variable 'v'.

Reorder the terms:
45v2 + 9v3 = -45v2 + 45v2

Combine like terms: -45v2 + 45v2 = 0
45v2 + 9v3 = 0

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

Ignore the factor 9.
Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

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

Simplifying
v2 = 0

Take the square root of each side:
v = {0}
Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {0, -5}