(9v+y)(9v+y)=0

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Solution for (9v+y)(9v+y)=0 equation: 


Simplifying
(9v + y)(9v + y) = 0

Multiply (9v + y) * (9v + y)
(9v * (9v + y) + y(9v + y)) = 0
((9v * 9v + y * 9v) + y(9v + y)) = 0

Reorder the terms:
((9vy + 81v2) + y(9v + y)) = 0
((9vy + 81v2) + y(9v + y)) = 0
(9vy + 81v2 + (9v * y + y * y)) = 0
(9vy + 81v2 + (9vy + y2)) = 0

Reorder the terms:
(9vy + 9vy + 81v2 + y2) = 0

Combine like terms: 9vy + 9vy = 18vy
(18vy + 81v2 + y2) = 0

Solving
18vy + 81v2 + y2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9v + y)(9v + y) = 0


Subproblem 1
Set the factor '(9v + y)' equal to zero and attempt to solve:

Simplifying
9v + y = 0

Solving
9v + y = 0

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

Add '-1y' to each side of the equation.
9v + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
9v + 0 = 0 + -1y
9v = 0 + -1y
Remove the zero:
9v = -1y

Divide each side by '9'.
v = -0.1111111111y

Simplifying
v = -0.1111111111y

Subproblem 2
Set the factor '(9v + y)' equal to zero and attempt to solve:

Simplifying
9v + y = 0

Solving
9v + y = 0

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

Add '-1y' to each side of the equation.
9v + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
9v + 0 = 0 + -1y
9v = 0 + -1y
Remove the zero:
9v = -1y

Divide each side by '9'.
v = -0.1111111111y

Simplifying
v = -0.1111111111y
Solution
v = {-0.1111111111y, -0.1111111111y}

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