(x+4y)(x+4y)=

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Solution for (x+4y)(x+4y)= equation: 


Simplifying
(x + 4y)(x + 4y) = 0

Multiply (x + 4y) * (x + 4y)
(x(x + 4y) + 4y * (x + 4y)) = 0
((x * x + 4y * x) + 4y * (x + 4y)) = 0

Reorder the terms:
((4xy + x2) + 4y * (x + 4y)) = 0
((4xy + x2) + 4y * (x + 4y)) = 0
(4xy + x2 + (x * 4y + 4y * 4y)) = 0
(4xy + x2 + (4xy + 16y2)) = 0

Reorder the terms:
(4xy + 4xy + x2 + 16y2) = 0

Combine like terms: 4xy + 4xy = 8xy
(8xy + x2 + 16y2) = 0

Solving
8xy + x2 + 16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + 4y)(x + 4y) = 0


Subproblem 1
Set the factor '(x + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y

Subproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y
Solution
x = {-4y, -4y}

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