-12x^2-11x-15=0

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Solution for -12x^2-11x-15=0 equation: 


Simplifying
-12x2 + -11x + -15 = 0

Reorder the terms:
-15 + -11x + -12x2 = 0

Solving
-15 + -11x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 11x + 12x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15 + 11x + 12x2)' equal to zero and attempt to solve:

Simplifying
15 + 11x + 12x2 = 0

Solving
15 + 11x + 12x2 = 0

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

Divide each side by '12'.
1.25 + 0.9166666667x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.9166666667x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.9166666667x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.9166666667x + x2 = 0 + -1.25
0.9166666667x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.9166666667x + x2 = -1.25

The x term is 0.9166666667x.  Take half its coefficient (0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
0.9166666667x + 0.2100694445 + x2 = -1.25 + 0.2100694445

Reorder the terms:
0.2100694445 + 0.9166666667x + x2 = -1.25 + 0.2100694445

Combine like terms: -1.25 + 0.2100694445 = -1.0399305555
0.2100694445 + 0.9166666667x + x2 = -1.0399305555

Factor a perfect square on the left side:
(x + 0.4583333334)(x + 0.4583333334) = -1.0399305555

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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