12x^2+9x-2=-7

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Solution for 12x^2+9x-2=-7 equation: 


Simplifying
12x2 + 9x + -2 = -7

Reorder the terms:
-2 + 9x + 12x2 = -7

Solving
-2 + 9x + 12x2 = -7

Solving for variable 'x'.

Reorder the terms:
-2 + 7 + 9x + 12x2 = -7 + 7

Combine like terms: -2 + 7 = 5
5 + 9x + 12x2 = -7 + 7

Combine like terms: -7 + 7 = 0
5 + 9x + 12x2 = 0

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

Divide each side by '12'.
0.4166666667 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + 0.75x + -0.4166666667 + x2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + 0.75x + x2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + 0.75x + x2 = 0 + -0.4166666667
0.75x + x2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
0.75x + x2 = -0.4166666667

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.4166666667 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.4166666667 + 0.140625

Combine like terms: -0.4166666667 + 0.140625 = -0.2760416667
0.140625 + 0.75x + x2 = -0.2760416667

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.2760416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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