34x^2-34x+65=0

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Solution for 34x^2-34x+65=0 equation:


Simplifying
34x2 + -34x + 65 = 0

Reorder the terms:
65 + -34x + 34x2 = 0

Solving
65 + -34x + 34x2 = 0

Solving for variable 'x'.

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

Divide each side by '34'.
1.911764706 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.911764706' to each side of the equation.
1.911764706 + -1x + -1.911764706 + x2 = 0 + -1.911764706

Reorder the terms:
1.911764706 + -1.911764706 + -1x + x2 = 0 + -1.911764706

Combine like terms: 1.911764706 + -1.911764706 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.911764706
-1x + x2 = 0 + -1.911764706

Combine like terms: 0 + -1.911764706 = -1.911764706
-1x + x2 = -1.911764706

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 = -1.911764706 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.911764706 + 0.25

Combine like terms: -1.911764706 + 0.25 = -1.661764706
0.25 + -1x + x2 = -1.661764706

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.661764706

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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