65X^2-29X+4=0

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Solution for 65X^2-29X+4=0 equation:


Simplifying
65X2 + -29X + 4 = 0

Reorder the terms:
4 + -29X + 65X2 = 0

Solving
4 + -29X + 65X2 = 0

Solving for variable 'X'.

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

Divide each side by '65'.
0.06153846154 + -0.4461538462X + X2 = 0

Move the constant term to the right:

Add '-0.06153846154' to each side of the equation.
0.06153846154 + -0.4461538462X + -0.06153846154 + X2 = 0 + -0.06153846154

Reorder the terms:
0.06153846154 + -0.06153846154 + -0.4461538462X + X2 = 0 + -0.06153846154

Combine like terms: 0.06153846154 + -0.06153846154 = 0.00000000000
0.00000000000 + -0.4461538462X + X2 = 0 + -0.06153846154
-0.4461538462X + X2 = 0 + -0.06153846154

Combine like terms: 0 + -0.06153846154 = -0.06153846154
-0.4461538462X + X2 = -0.06153846154

The X term is -0.4461538462X.  Take half its coefficient (-0.2230769231).
Square it (0.04976331362) and add it to both sides.

Add '0.04976331362' to each side of the equation.
-0.4461538462X + 0.04976331362 + X2 = -0.06153846154 + 0.04976331362

Reorder the terms:
0.04976331362 + -0.4461538462X + X2 = -0.06153846154 + 0.04976331362

Combine like terms: -0.06153846154 + 0.04976331362 = -0.01177514792
0.04976331362 + -0.4461538462X + X2 = -0.01177514792

Factor a perfect square on the left side:
(X + -0.2230769231)(X + -0.2230769231) = -0.01177514792

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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