12x^2-88x+170=0

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Solution for 12x^2-88x+170=0 equation: 


Simplifying
12x2 + -88x + 170 = 0

Reorder the terms:
170 + -88x + 12x2 = 0

Solving
170 + -88x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(85 + -44x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(85 + -44x + 6x2)' equal to zero and attempt to solve:

Simplifying
85 + -44x + 6x2 = 0

Solving
85 + -44x + 6x2 = 0

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

Divide each side by '6'.
14.16666667 + -7.333333333x + x2 = 0

Move the constant term to the right:

Add '-14.16666667' to each side of the equation.
14.16666667 + -7.333333333x + -14.16666667 + x2 = 0 + -14.16666667

Reorder the terms:
14.16666667 + -14.16666667 + -7.333333333x + x2 = 0 + -14.16666667

Combine like terms: 14.16666667 + -14.16666667 = 0.00000000
0.00000000 + -7.333333333x + x2 = 0 + -14.16666667
-7.333333333x + x2 = 0 + -14.16666667

Combine like terms: 0 + -14.16666667 = -14.16666667
-7.333333333x + x2 = -14.16666667

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 = -14.16666667 + 13.44444445

Reorder the terms:
13.44444445 + -7.333333333x + x2 = -14.16666667 + 13.44444445

Combine like terms: -14.16666667 + 13.44444445 = -0.72222222
13.44444445 + -7.333333333x + x2 = -0.72222222

Factor a perfect square on the left side:
(x + -3.666666667)(x + -3.666666667) = -0.72222222

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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