12x^2+5x=-2

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Solution for 12x^2+5x=-2 equation: 


Simplifying
12x2 + 5x = -2

Reorder the terms:
5x + 12x2 = -2

Solving
5x + 12x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + 5x + 12x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 5x + 12x2 = 0

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

Divide each side by '12'.
0.1666666667 + 0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + 0.4166666667x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + 0.4166666667x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + 0.4166666667x + x2 = 0 + -0.1666666667
0.4166666667x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
0.4166666667x + x2 = -0.1666666667

The x term is 0.4166666667x.  Take half its coefficient (0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
0.4166666667x + 0.04340277781 + x2 = -0.1666666667 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667x + x2 = -0.1666666667 + 0.04340277781

Combine like terms: -0.1666666667 + 0.04340277781 = -0.12326388889
0.04340277781 + 0.4166666667x + x2 = -0.12326388889

Factor a perfect square on the left side:
(x + 0.2083333334)(x + 0.2083333334) = -0.12326388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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