12x^2+12(x+1)=-x

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Solution for 12x^2+12(x+1)=-x equation:


Simplifying
12x2 + 12(x + 1) = -1x

Reorder the terms:
12x2 + 12(1 + x) = -1x
12x2 + (1 * 12 + x * 12) = -1x
12x2 + (12 + 12x) = -1x

Reorder the terms:
12 + 12x + 12x2 = -1x

Solving
12 + 12x + 12x2 = -1x

Solving for variable 'x'.

Reorder the terms:
12 + 12x + x + 12x2 = -1x + x

Combine like terms: 12x + x = 13x
12 + 13x + 12x2 = -1x + x

Combine like terms: -1x + x = 0
12 + 13x + 12x2 = 0

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

Divide each side by '12'.
1 + 1.083333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.083333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.083333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.083333333x + x2 = 0 + -1
1.083333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.083333333x + x2 = -1

The x term is 1.083333333x.  Take half its coefficient (0.5416666665).
Square it (0.2934027776) and add it to both sides.

Add '0.2934027776' to each side of the equation.
1.083333333x + 0.2934027776 + x2 = -1 + 0.2934027776

Reorder the terms:
0.2934027776 + 1.083333333x + x2 = -1 + 0.2934027776

Combine like terms: -1 + 0.2934027776 = -0.7065972224
0.2934027776 + 1.083333333x + x2 = -0.7065972224

Factor a perfect square on the left side:
(x + 0.5416666665)(x + 0.5416666665) = -0.7065972224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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