6x(6x)+x+12=0

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Solution for 6x(6x)+x+12=0 equation: 


Simplifying
6x(6x) + x + 12 = 0

Remove parenthesis around (6x)
6x * 6x + x + 12 = 0

Reorder the terms for easier multiplication:
6 * 6x * x + x + 12 = 0

Multiply 6 * 6
36x * x + x + 12 = 0

Multiply x * x
36x2 + x + 12 = 0

Reorder the terms:
12 + x + 36x2 = 0

Solving
12 + x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
0.3333333333 + 0.02777777778x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.02777777778x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.02777777778x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.02777777778x + x2 = 0 + -0.3333333333
0.02777777778x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.02777777778x + x2 = -0.3333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.02777777778x + 0.25 + x2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + 0.02777777778x + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + 0.02777777778x + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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