(x+3y)(x+3y)=

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Solution for (x+3y)(x+3y)= equation: 


Simplifying
(x + 3y)(x + 3y) = 0

Multiply (x + 3y) * (x + 3y)
(x(x + 3y) + 3y * (x + 3y)) = 0
((x * x + 3y * x) + 3y * (x + 3y)) = 0

Reorder the terms:
((3xy + x2) + 3y * (x + 3y)) = 0
((3xy + x2) + 3y * (x + 3y)) = 0
(3xy + x2 + (x * 3y + 3y * 3y)) = 0
(3xy + x2 + (3xy + 9y2)) = 0

Reorder the terms:
(3xy + 3xy + x2 + 9y2) = 0

Combine like terms: 3xy + 3xy = 6xy
(6xy + x2 + 9y2) = 0

Solving
6xy + x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + 3y)(x + 3y) = 0


Subproblem 1
Set the factor '(x + 3y)' equal to zero and attempt to solve:

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

Add '-3y' to each side of the equation.
x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

Simplifying
x = -3y

Subproblem 2
Set the factor '(x + 3y)' equal to zero and attempt to solve:

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

Add '-3y' to each side of the equation.
x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

Simplifying
x = -3y
Solution
x = {-3y, -3y}

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