12x^2-88x+168=0

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Solution for 12x^2-88x+168=0 equation: 


Simplifying
12x2 + -88x + 168 = 0

Reorder the terms:
168 + -88x + 12x2 = 0

Solving
168 + -88x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(42 + -22x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(42 + -22x + 3x2)' equal to zero and attempt to solve:

Simplifying
42 + -22x + 3x2 = 0

Solving
42 + -22x + 3x2 = 0

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

Divide each side by '3'.
14 + -7.333333333x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -7.333333333x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -7.333333333x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -7.333333333x + x2 = 0 + -14
-7.333333333x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-7.333333333x + x2 = -14

The x term is -7.333333333x.  Take half its coefficient (-3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
-7.333333333x + 13.44444445 + x2 = -14 + 13.44444445

Reorder the terms:
13.44444445 + -7.333333333x + x2 = -14 + 13.44444445

Combine like terms: -14 + 13.44444445 = -0.55555555
13.44444445 + -7.333333333x + x2 = -0.55555555

Factor a perfect square on the left side:
(x + -3.666666667)(x + -3.666666667) = -0.55555555

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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