-16x^2+16x-27=0

Solution for -16x^2+16x-27=0 equation:

Simplifying
-16x2 + 16x + -27 = 0

Reorder the terms:
-27 + 16x + -16x2 = 0

Solving
-27 + 16x + -16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
1.6875 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.6875' to each side of the equation.
1.6875 + -1x + -1.6875 + x2 = 0 + -1.6875

Reorder the terms:
1.6875 + -1.6875 + -1x + x2 = 0 + -1.6875

Combine like terms: 1.6875 + -1.6875 = 0.0000
0.0000 + -1x + x2 = 0 + -1.6875
-1x + x2 = 0 + -1.6875

Combine like terms: 0 + -1.6875 = -1.6875
-1x + x2 = -1.6875

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.6875 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.6875 + 0.25

Combine like terms: -1.6875 + 0.25 = -1.4375
0.25 + -1x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.