-12x^2+9x-165=0

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Solution for -12x^2+9x-165=0 equation: 


Simplifying
-12x2 + 9x + -165 = 0

Reorder the terms:
-165 + 9x + -12x2 = 0

Solving
-165 + 9x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-55 + 3x + -4x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-55 + 3x + -4x2)' equal to zero and attempt to solve:

Simplifying
-55 + 3x + -4x2 = 0

Solving
-55 + 3x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
13.75 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-13.75' to each side of the equation.
13.75 + -0.75x + -13.75 + x2 = 0 + -13.75

Reorder the terms:
13.75 + -13.75 + -0.75x + x2 = 0 + -13.75

Combine like terms: 13.75 + -13.75 = 0.00
0.00 + -0.75x + x2 = 0 + -13.75
-0.75x + x2 = 0 + -13.75

Combine like terms: 0 + -13.75 = -13.75
-0.75x + x2 = -13.75

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 = -13.75 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -13.75 + 0.140625

Combine like terms: -13.75 + 0.140625 = -13.609375
0.140625 + -0.75x + x2 = -13.609375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -13.609375

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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