4x^2-4x+65=0

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Solution for 4x^2-4x+65=0 equation:


Simplifying
4x2 + -4x + 65 = 0

Reorder the terms:
65 + -4x + 4x2 = 0

Solving
65 + -4x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
16.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-16.25' to each side of the equation.
16.25 + -1x + -16.25 + x2 = 0 + -16.25

Reorder the terms:
16.25 + -16.25 + -1x + x2 = 0 + -16.25

Combine like terms: 16.25 + -16.25 = 0.00
0.00 + -1x + x2 = 0 + -16.25
-1x + x2 = 0 + -16.25

Combine like terms: 0 + -16.25 = -16.25
-1x + x2 = -16.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -16.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -16.25 + 0.25

Combine like terms: -16.25 + 0.25 = -16
0.25 + -1x + x2 = -16

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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