16x^2-8x-2=-16

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Solution for 16x^2-8x-2=-16 equation: 


Simplifying
16x2 + -8x + -2 = -16

Reorder the terms:
-2 + -8x + 16x2 = -16

Solving
-2 + -8x + 16x2 = -16

Solving for variable 'x'.

Reorder the terms:
-2 + 16 + -8x + 16x2 = -16 + 16

Combine like terms: -2 + 16 = 14
14 + -8x + 16x2 = -16 + 16

Combine like terms: -16 + 16 = 0
14 + -8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -4x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -4x + 8x2)' equal to zero and attempt to solve:

Simplifying
7 + -4x + 8x2 = 0

Solving
7 + -4x + 8x2 = 0

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

Divide each side by '8'.
0.875 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.5x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.5x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.5x + x2 = 0 + -0.875
-0.5x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.5x + x2 = -0.875

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.875 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.875 + 0.0625

Combine like terms: -0.875 + 0.0625 = -0.8125
0.0625 + -0.5x + x2 = -0.8125

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.8125

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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