(6x+9)(6x+9)=

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Solution for (6x+9)(6x+9)= equation: 


Simplifying
(6x + 9)(6x + 9) = 0

Reorder the terms:
(9 + 6x)(6x + 9) = 0

Reorder the terms:
(9 + 6x)(9 + 6x) = 0

Multiply (9 + 6x) * (9 + 6x)
(9(9 + 6x) + 6x * (9 + 6x)) = 0
((9 * 9 + 6x * 9) + 6x * (9 + 6x)) = 0
((81 + 54x) + 6x * (9 + 6x)) = 0
(81 + 54x + (9 * 6x + 6x * 6x)) = 0
(81 + 54x + (54x + 36x2)) = 0

Combine like terms: 54x + 54x = 108x
(81 + 108x + 36x2) = 0

Solving
81 + 108x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(9 + 12x + 4x2) = 0

Factor a trinomial.
9((3 + 2x)(3 + 2x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-1.5, -1.5}

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