8x^2-11x+4=0

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Solution for 8x^2-11x+4=0 equation:


Simplifying
8x2 + -11x + 4 = 0

Reorder the terms:
4 + -11x + 8x2 = 0

Solving
4 + -11x + 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'.
0.5 + -1.375x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.375x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.375x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.375x + x2 = 0 + -0.5
-1.375x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.375x + x2 = -0.5

The x term is -1.375x.  Take half its coefficient (-0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
-1.375x + 0.47265625 + x2 = -0.5 + 0.47265625

Reorder the terms:
0.47265625 + -1.375x + x2 = -0.5 + 0.47265625

Combine like terms: -0.5 + 0.47265625 = -0.02734375
0.47265625 + -1.375x + x2 = -0.02734375

Factor a perfect square on the left side:
(x + -0.6875)(x + -0.6875) = -0.02734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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