4x^2-2x+32=0

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Solution for 4x^2-2x+32=0 equation: 


Simplifying
4x2 + -2x + 32 = 0

Reorder the terms:
32 + -2x + 4x2 = 0

Solving
32 + -2x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -1x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(16 + -1x + 2x2)' equal to zero and attempt to solve:

Simplifying
16 + -1x + 2x2 = 0

Solving
16 + -1x + 2x2 = 0

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

Divide each side by '2'.
8 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -0.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -0.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -0.5x + x2 = 0 + -8
-0.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-0.5x + x2 = -8

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 = -8 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -8 + 0.0625

Combine like terms: -8 + 0.0625 = -7.9375
0.0625 + -0.5x + x2 = -7.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -7.9375

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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