12x^2-42x+104=0

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Solution for 12x^2-42x+104=0 equation: 


Simplifying
12x2 + -42x + 104 = 0

Reorder the terms:
104 + -42x + 12x2 = 0

Solving
104 + -42x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(52 + -21x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(52 + -21x + 6x2)' equal to zero and attempt to solve:

Simplifying
52 + -21x + 6x2 = 0

Solving
52 + -21x + 6x2 = 0

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

Divide each side by '6'.
8.666666667 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -3.5x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -3.5x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -3.5x + x2 = 0 + -8.666666667
-3.5x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-3.5x + x2 = -8.666666667

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -8.666666667 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -8.666666667 + 3.0625

Combine like terms: -8.666666667 + 3.0625 = -5.604166667
3.0625 + -3.5x + x2 = -5.604166667

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -5.604166667

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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