(3x+2)(3x+2)=-16

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Solution for (3x+2)(3x+2)=-16 equation: 


Simplifying
(3x + 2)(3x + 2) = -16

Reorder the terms:
(2 + 3x)(3x + 2) = -16

Reorder the terms:
(2 + 3x)(2 + 3x) = -16

Multiply (2 + 3x) * (2 + 3x)
(2(2 + 3x) + 3x * (2 + 3x)) = -16
((2 * 2 + 3x * 2) + 3x * (2 + 3x)) = -16
((4 + 6x) + 3x * (2 + 3x)) = -16
(4 + 6x + (2 * 3x + 3x * 3x)) = -16
(4 + 6x + (6x + 9x2)) = -16

Combine like terms: 6x + 6x = 12x
(4 + 12x + 9x2) = -16

Solving
4 + 12x + 9x2 = -16

Solving for variable 'x'.

Reorder the terms:
4 + 16 + 12x + 9x2 = -16 + 16

Combine like terms: 4 + 16 = 20
20 + 12x + 9x2 = -16 + 16

Combine like terms: -16 + 16 = 0
20 + 12x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
2.222222222 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.222222222' to each side of the equation.
2.222222222 + 1.333333333x + -2.222222222 + x2 = 0 + -2.222222222

Reorder the terms:
2.222222222 + -2.222222222 + 1.333333333x + x2 = 0 + -2.222222222

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.222222222
1.333333333x + x2 = 0 + -2.222222222

Combine like terms: 0 + -2.222222222 = -2.222222222
1.333333333x + x2 = -2.222222222

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -2.222222222 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.222222222 + 0.4444444442

Combine like terms: -2.222222222 + 0.4444444442 = -1.7777777778
0.4444444442 + 1.333333333x + x2 = -1.7777777778

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -1.7777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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