(2v+9y)(2v+9y)=

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Solution for (2v+9y)(2v+9y)= equation: 


Simplifying
(2v + 9y)(2v + 9y) = 0

Multiply (2v + 9y) * (2v + 9y)
(2v * (2v + 9y) + 9y * (2v + 9y)) = 0
((2v * 2v + 9y * 2v) + 9y * (2v + 9y)) = 0

Reorder the terms:
((18vy + 4v2) + 9y * (2v + 9y)) = 0
((18vy + 4v2) + 9y * (2v + 9y)) = 0
(18vy + 4v2 + (2v * 9y + 9y * 9y)) = 0
(18vy + 4v2 + (18vy + 81y2)) = 0

Reorder the terms:
(18vy + 18vy + 4v2 + 81y2) = 0

Combine like terms: 18vy + 18vy = 36vy
(36vy + 4v2 + 81y2) = 0

Solving
36vy + 4v2 + 81y2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2v + 9y)(2v + 9y) = 0


Subproblem 1
Set the factor '(2v + 9y)' equal to zero and attempt to solve:

Simplifying
2v + 9y = 0

Solving
2v + 9y = 0

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

Add '-9y' to each side of the equation.
2v + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2v + 0 = 0 + -9y
2v = 0 + -9y
Remove the zero:
2v = -9y

Divide each side by '2'.
v = -4.5y

Simplifying
v = -4.5y

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

Simplifying
2v + 9y = 0

Solving
2v + 9y = 0

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

Add '-9y' to each side of the equation.
2v + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2v + 0 = 0 + -9y
2v = 0 + -9y
Remove the zero:
2v = -9y

Divide each side by '2'.
v = -4.5y

Simplifying
v = -4.5y
Solution
v = {-4.5y, -4.5y}

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