5x^2+6x+12=0

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Solution for 5x^2+6x+12=0 equation:


Simplifying
5x2 + 6x + 12 = 0

Reorder the terms:
12 + 6x + 5x2 = 0

Solving
12 + 6x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
2.4 + 1.2x + x2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + 1.2x + -2.4 + x2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + 1.2x + x2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2x + x2 = 0 + -2.4
1.2x + x2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
1.2x + x2 = -2.4

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = -2.4 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = -2.4 + 0.36

Combine like terms: -2.4 + 0.36 = -2.04
0.36 + 1.2x + x2 = -2.04

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = -2.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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