-8x^2+11x-43=0

Solution for -8x^2+11x-43=0 equation:

Simplifying
-8x2 + 11x + -43 = 0

Reorder the terms:
-43 + 11x + -8x2 = 0

Solving
-43 + 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'.
5.375 + -1.375x + x2 = 0

Move the constant term to the right:

Add '-5.375' to each side of the equation.
5.375 + -1.375x + -5.375 + x2 = 0 + -5.375

Reorder the terms:
5.375 + -5.375 + -1.375x + x2 = 0 + -5.375

Combine like terms: 5.375 + -5.375 = 0.000
0.000 + -1.375x + x2 = 0 + -5.375
-1.375x + x2 = 0 + -5.375

Combine like terms: 0 + -5.375 = -5.375
-1.375x + x2 = -5.375

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 = -5.375 + 0.47265625

Reorder the terms:
0.47265625 + -1.375x + x2 = -5.375 + 0.47265625

Combine like terms: -5.375 + 0.47265625 = -4.90234375
0.47265625 + -1.375x + x2 = -4.90234375

Factor a perfect square on the left side:
(x + -0.6875)(x + -0.6875) = -4.90234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.