16x^2-12x+14=0

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Solution for 16x^2-12x+14=0 equation: 


Simplifying
16x2 + -12x + 14 = 0

Reorder the terms:
14 + -12x + 16x2 = 0

Solving
14 + -12x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -6x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -6x + 8x2)' equal to zero and attempt to solve:

Simplifying
7 + -6x + 8x2 = 0

Solving
7 + -6x + 8x2 = 0

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

Divide each side by '8'.
0.875 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.75x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.75x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.75x + x2 = 0 + -0.875
-0.75x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.75x + x2 = -0.875

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.875 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.875 + 0.140625

Combine like terms: -0.875 + 0.140625 = -0.734375
0.140625 + -0.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.734375

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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