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

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


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

Reorder the terms:
(8 + 3a)(3a + 8) = 0

Reorder the terms:
(8 + 3a)(8 + 3a) = 0

Multiply (8 + 3a) * (8 + 3a)
(8(8 + 3a) + 3a * (8 + 3a)) = 0
((8 * 8 + 3a * 8) + 3a * (8 + 3a)) = 0
((64 + 24a) + 3a * (8 + 3a)) = 0
(64 + 24a + (8 * 3a + 3a * 3a)) = 0
(64 + 24a + (24a + 9a2)) = 0

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

Solving
64 + 48a + 9a2 = 0

Solving for variable 'a'.

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


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

Simplifying
8 + 3a = 0

Solving
8 + 3a = 0

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

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

Combine like terms: 8 + -8 = 0
0 + 3a = 0 + -8
3a = 0 + -8

Combine like terms: 0 + -8 = -8
3a = -8

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

Simplifying
a = -2.666666667

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

Simplifying
8 + 3a = 0

Solving
8 + 3a = 0

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

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

Combine like terms: 8 + -8 = 0
0 + 3a = 0 + -8
3a = 0 + -8

Combine like terms: 0 + -8 = -8
3a = -8

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

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

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