8u^2-13u+6=0

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Solution for 8u^2-13u+6=0 equation:


Simplifying
8u2 + -13u + 6 = 0

Reorder the terms:
6 + -13u + 8u2 = 0

Solving
6 + -13u + 8u2 = 0

Solving for variable 'u'.

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

Divide each side by '8'.
0.75 + -1.625u + u2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.625u + -0.75 + u2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.625u + u2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.625u + u2 = 0 + -0.75
-1.625u + u2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.625u + u2 = -0.75

The u term is -1.625u.  Take half its coefficient (-0.8125).
Square it (0.66015625) and add it to both sides.

Add '0.66015625' to each side of the equation.
-1.625u + 0.66015625 + u2 = -0.75 + 0.66015625

Reorder the terms:
0.66015625 + -1.625u + u2 = -0.75 + 0.66015625

Combine like terms: -0.75 + 0.66015625 = -0.08984375
0.66015625 + -1.625u + u2 = -0.08984375

Factor a perfect square on the left side:
(u + -0.8125)(u + -0.8125) = -0.08984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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