256x^2-32x+256=0

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Solution for 256x^2-32x+256=0 equation: 


Simplifying
256x2 + -32x + 256 = 0

Reorder the terms:
256 + -32x + 256x2 = 0

Solving
256 + -32x + 256x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32'.
32(8 + -1x + 8x2) = 0

Ignore the factor 32.

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

Simplifying
8 + -1x + 8x2 = 0

Solving
8 + -1x + 8x2 = 0

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

Divide each side by '8'.
1 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.125x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.125x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.125x + x2 = 0 + -1
-0.125x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.125x + x2 = -1

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -1 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -1 + 0.00390625

Combine like terms: -1 + 0.00390625 = -0.99609375
0.00390625 + -0.125x + x2 = -0.99609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -0.99609375

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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