64x^2-32x+10=0

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Solution for 64x^2-32x+10=0 equation: 


Simplifying
64x2 + -32x + 10 = 0

Reorder the terms:
10 + -32x + 64x2 = 0

Solving
10 + -32x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -16x + 32x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -16x + 32x2)' equal to zero and attempt to solve:

Simplifying
5 + -16x + 32x2 = 0

Solving
5 + -16x + 32x2 = 0

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

Divide each side by '32'.
0.15625 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.15625' to each side of the equation.
0.15625 + -0.5x + -0.15625 + x2 = 0 + -0.15625

Reorder the terms:
0.15625 + -0.15625 + -0.5x + x2 = 0 + -0.15625

Combine like terms: 0.15625 + -0.15625 = 0.00000
0.00000 + -0.5x + x2 = 0 + -0.15625
-0.5x + x2 = 0 + -0.15625

Combine like terms: 0 + -0.15625 = -0.15625
-0.5x + x2 = -0.15625

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 = -0.15625 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.15625 + 0.0625

Combine like terms: -0.15625 + 0.0625 = -0.09375
0.0625 + -0.5x + x2 = -0.09375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.09375

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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