9x^2+12x+144=0

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Solution for 9x^2+12x+144=0 equation: 


Simplifying
9x2 + 12x + 144 = 0

Reorder the terms:
144 + 12x + 9x2 = 0

Solving
144 + 12x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(48 + 4x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(48 + 4x + 3x2)' equal to zero and attempt to solve:

Simplifying
48 + 4x + 3x2 = 0

Solving
48 + 4x + 3x2 = 0

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

Divide each side by '3'.
16 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 1.333333333x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 1.333333333x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 1.333333333x + x2 = 0 + -16
1.333333333x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
1.333333333x + x2 = -16

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -16 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -16 + 0.4444444442

Combine like terms: -16 + 0.4444444442 = -15.5555555558
0.4444444442 + 1.333333333x + x2 = -15.5555555558

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -15.5555555558

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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