12x^2-26x+112=0

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Solution for 12x^2-26x+112=0 equation: 


Simplifying
12x2 + -26x + 112 = 0

Reorder the terms:
112 + -26x + 12x2 = 0

Solving
112 + -26x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -13x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(56 + -13x + 6x2)' equal to zero and attempt to solve:

Simplifying
56 + -13x + 6x2 = 0

Solving
56 + -13x + 6x2 = 0

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

Divide each side by '6'.
9.333333333 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -2.166666667x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -2.166666667x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -2.166666667x + x2 = 0 + -9.333333333
-2.166666667x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-2.166666667x + x2 = -9.333333333

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -9.333333333 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -9.333333333 + 1.173611113

Combine like terms: -9.333333333 + 1.173611113 = -8.15972222
1.173611113 + -2.166666667x + x2 = -8.15972222

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -8.15972222

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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