-12x^2-7x-9=0

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Solution for -12x^2-7x-9=0 equation: 


Simplifying
-12x2 + -7x + -9 = 0

Reorder the terms:
-9 + -7x + -12x2 = 0

Solving
-9 + -7x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 7x + 12x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 7x + 12x2)' equal to zero and attempt to solve:

Simplifying
9 + 7x + 12x2 = 0

Solving
9 + 7x + 12x2 = 0

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

Divide each side by '12'.
0.75 + 0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.5833333333x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.5833333333x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.5833333333x + x2 = 0 + -0.75
0.5833333333x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.5833333333x + x2 = -0.75

The x term is 0.5833333333x.  Take half its coefficient (0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
0.5833333333x + 0.08506944446 + x2 = -0.75 + 0.08506944446

Reorder the terms:
0.08506944446 + 0.5833333333x + x2 = -0.75 + 0.08506944446

Combine like terms: -0.75 + 0.08506944446 = -0.66493055554
0.08506944446 + 0.5833333333x + x2 = -0.66493055554

Factor a perfect square on the left side:
(x + 0.2916666667)(x + 0.2916666667) = -0.66493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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