12x^2-44x+144=0

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Solution for 12x^2-44x+144=0 equation: 


Simplifying
12x2 + -44x + 144 = 0

Reorder the terms:
144 + -44x + 12x2 = 0

Solving
144 + -44x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + -11x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(36 + -11x + 3x2)' equal to zero and attempt to solve:

Simplifying
36 + -11x + 3x2 = 0

Solving
36 + -11x + 3x2 = 0

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

Divide each side by '3'.
12 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -3.666666667x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -3.666666667x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3.666666667x + x2 = 0 + -12
-3.666666667x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-3.666666667x + x2 = -12

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -12 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -12 + 3.361111114

Combine like terms: -12 + 3.361111114 = -8.638888886
3.361111114 + -3.666666667x + x2 = -8.638888886

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -8.638888886

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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