(3x)(3x)+12x+5=0

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Solution for (3x)(3x)+12x+5=0 equation:


Simplifying
(3x)(3x) + 12x + 5 = 0

Remove parenthesis around (3x)
3x(3x) + 12x + 5 = 0

Remove parenthesis around (3x)
3x * 3x + 12x + 5 = 0

Reorder the terms for easier multiplication:
3 * 3x * x + 12x + 5 = 0

Multiply 3 * 3
9x * x + 12x + 5 = 0

Multiply x * x
9x2 + 12x + 5 = 0

Reorder the terms:
5 + 12x + 9x2 = 0

Solving
5 + 12x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
0.5555555556 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + 1.333333333x + -0.5555555556 + x2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + 1.333333333x + x2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + 1.333333333x + x2 = 0 + -0.5555555556
1.333333333x + x2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
1.333333333x + x2 = -0.5555555556

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 = -0.5555555556 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -0.5555555556 + 0.4444444442

Combine like terms: -0.5555555556 + 0.4444444442 = -0.1111111114
0.4444444442 + 1.333333333x + x2 = -0.1111111114

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -0.1111111114

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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