(3a+8b)(3a+8b)=

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Solution for (3a+8b)(3a+8b)= equation: 


Simplifying
(3a + 8b)(3a + 8b) = 0

Multiply (3a + 8b) * (3a + 8b)
(3a * (3a + 8b) + 8b * (3a + 8b)) = 0
((3a * 3a + 8b * 3a) + 8b * (3a + 8b)) = 0

Reorder the terms:
((24ab + 9a2) + 8b * (3a + 8b)) = 0
((24ab + 9a2) + 8b * (3a + 8b)) = 0
(24ab + 9a2 + (3a * 8b + 8b * 8b)) = 0
(24ab + 9a2 + (24ab + 64b2)) = 0

Reorder the terms:
(24ab + 24ab + 9a2 + 64b2) = 0

Combine like terms: 24ab + 24ab = 48ab
(48ab + 9a2 + 64b2) = 0

Solving
48ab + 9a2 + 64b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + 8b)(3a + 8b) = 0


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

Simplifying
3a + 8b = 0

Solving
3a + 8b = 0

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

Add '-8b' to each side of the equation.
3a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
3a + 0 = 0 + -8b
3a = 0 + -8b
Remove the zero:
3a = -8b

Divide each side by '3'.
a = -2.666666667b

Simplifying
a = -2.666666667b

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

Simplifying
3a + 8b = 0

Solving
3a + 8b = 0

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

Add '-8b' to each side of the equation.
3a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
3a + 0 = 0 + -8b
3a = 0 + -8b
Remove the zero:
3a = -8b

Divide each side by '3'.
a = -2.666666667b

Simplifying
a = -2.666666667b
Solution
a = {-2.666666667b, -2.666666667b}

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