64x^2-16x+441=0

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Solution for 64x^2-16x+441=0 equation:


Simplifying
64x2 + -16x + 441 = 0

Reorder the terms:
441 + -16x + 64x2 = 0

Solving
441 + -16x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
6.890625 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-6.890625' to each side of the equation.
6.890625 + -0.25x + -6.890625 + x2 = 0 + -6.890625

Reorder the terms:
6.890625 + -6.890625 + -0.25x + x2 = 0 + -6.890625

Combine like terms: 6.890625 + -6.890625 = 0.000000
0.000000 + -0.25x + x2 = 0 + -6.890625
-0.25x + x2 = 0 + -6.890625

Combine like terms: 0 + -6.890625 = -6.890625
-0.25x + x2 = -6.890625

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -6.890625 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -6.890625 + 0.015625

Combine like terms: -6.890625 + 0.015625 = -6.875
0.015625 + -0.25x + x2 = -6.875

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -6.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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