16x^2-16x+68=0

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Solution for 16x^2-16x+68=0 equation: 


Simplifying
16x2 + -16x + 68 = 0

Reorder the terms:
68 + -16x + 16x2 = 0

Solving
68 + -16x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(17 + -4x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(17 + -4x + 4x2)' equal to zero and attempt to solve:

Simplifying
17 + -4x + 4x2 = 0

Solving
17 + -4x + 4x2 = 0

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

Divide each side by '4'.
4.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -1x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -1x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -1x + x2 = 0 + -4.25
-1x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-1x + x2 = -4.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -4.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.25 + 0.25

Combine like terms: -4.25 + 0.25 = -4
0.25 + -1x + x2 = -4

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4

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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