6x^2+12x+7=0

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Solution for 6x^2+12x+7=0 equation:


Simplifying
6x2 + 12x + 7 = 0

Reorder the terms:
7 + 12x + 6x2 = 0

Solving
7 + 12x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.166666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 2x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 2x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.166666667
2x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
2x + x2 = -1.166666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.166666667 + 1

Reorder the terms:
1 + 2x + x2 = -1.166666667 + 1

Combine like terms: -1.166666667 + 1 = -0.166666667
1 + 2x + x2 = -0.166666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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