8x^2-9x+3=0

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Solution for 8x^2-9x+3=0 equation:


Simplifying
8x2 + -9x + 3 = 0

Reorder the terms:
3 + -9x + 8x2 = 0

Solving
3 + -9x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.375 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -1.125x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -1.125x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -1.125x + x2 = 0 + -0.375
-1.125x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-1.125x + x2 = -0.375

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -0.375 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -0.375 + 0.31640625

Combine like terms: -0.375 + 0.31640625 = -0.05859375
0.31640625 + -1.125x + x2 = -0.05859375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -0.05859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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