12x^2+20x+27=0

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Solution for 12x^2+20x+27=0 equation:


Simplifying
12x2 + 20x + 27 = 0

Reorder the terms:
27 + 20x + 12x2 = 0

Solving
27 + 20x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
2.25 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 1.666666667x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 1.666666667x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 1.666666667x + x2 = 0 + -2.25
1.666666667x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
1.666666667x + x2 = -2.25

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -2.25 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -2.25 + 0.6944444447

Combine like terms: -2.25 + 0.6944444447 = -1.5555555553
0.6944444447 + 1.666666667x + x2 = -1.5555555553

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -1.5555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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