9v(9v+3)+v(6v+9)=

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Solution for 9v(9v+3)+v(6v+9)= equation: 


Simplifying
9v(9v + 3) + v(6v + 9) = 0

Reorder the terms:
9v(3 + 9v) + v(6v + 9) = 0
(3 * 9v + 9v * 9v) + v(6v + 9) = 0
(27v + 81v2) + v(6v + 9) = 0

Reorder the terms:
27v + 81v2 + v(9 + 6v) = 0
27v + 81v2 + (9 * v + 6v * v) = 0
27v + 81v2 + (9v + 6v2) = 0

Reorder the terms:
27v + 9v + 81v2 + 6v2 = 0

Combine like terms: 27v + 9v = 36v
36v + 81v2 + 6v2 = 0

Combine like terms: 81v2 + 6v2 = 87v2
36v + 87v2 = 0

Solving
36v + 87v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(12 + 29v) = 0

Ignore the factor 3.

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 '(12 + 29v)' equal to zero and attempt to solve:

Simplifying
12 + 29v = 0

Solving
12 + 29v = 0

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

Add '-12' to each side of the equation.
12 + -12 + 29v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 29v = 0 + -12
29v = 0 + -12

Combine like terms: 0 + -12 = -12
29v = -12

Divide each side by '29'.
v = -0.4137931034

Simplifying
v = -0.4137931034
Solution
v = {0, -0.4137931034}

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