9v^2(v^2+3v-4)=

Solution for 9v^2(v^2+3v-4)= equation:

Simplifying
9v2(v2 + 3v + -4) = 0

Reorder the terms:
9v2(-4 + 3v + v2) = 0
(-4 * 9v2 + 3v * 9v2 + v2 * 9v2) = 0
(-36v2 + 27v3 + 9v4) = 0

Solving
-36v2 + 27v3 + 9v4 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '9v2'.
9v2(-4 + 3v + v2) = 0

Factor a trinomial.
9v2((-4 + -1v)(1 + -1v)) = 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 '(-4 + -1v)' equal to zero and attempt to solve:

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4
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, -4, 1}