(3x+8y)(3x+8y)=

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Solution for (3x+8y)(3x+8y)= equation: 


Simplifying
(3x + 8y)(3x + 8y) = 0

Multiply (3x + 8y) * (3x + 8y)
(3x * (3x + 8y) + 8y * (3x + 8y)) = 0
((3x * 3x + 8y * 3x) + 8y * (3x + 8y)) = 0

Reorder the terms:
((24xy + 9x2) + 8y * (3x + 8y)) = 0
((24xy + 9x2) + 8y * (3x + 8y)) = 0
(24xy + 9x2 + (3x * 8y + 8y * 8y)) = 0
(24xy + 9x2 + (24xy + 64y2)) = 0

Reorder the terms:
(24xy + 24xy + 9x2 + 64y2) = 0

Combine like terms: 24xy + 24xy = 48xy
(48xy + 9x2 + 64y2) = 0

Solving
48xy + 9x2 + 64y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + 8y)(3x + 8y) = 0


Subproblem 1
Set the factor '(3x + 8y)' equal to zero and attempt to solve:

Simplifying
3x + 8y = 0

Solving
3x + 8y = 0

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

Add '-8y' to each side of the equation.
3x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 0 + -8y
3x = 0 + -8y
Remove the zero:
3x = -8y

Divide each side by '3'.
x = -2.666666667y

Simplifying
x = -2.666666667y

Subproblem 2
Set the factor '(3x + 8y)' equal to zero and attempt to solve:

Simplifying
3x + 8y = 0

Solving
3x + 8y = 0

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

Add '-8y' to each side of the equation.
3x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 0 + -8y
3x = 0 + -8y
Remove the zero:
3x = -8y

Divide each side by '3'.
x = -2.666666667y

Simplifying
x = -2.666666667y
Solution
x = {-2.666666667y, -2.666666667y}

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