16x^2-9x+20=0

Solution for 16x^2-9x+20=0 equation:

Simplifying
16x2 + -9x + 20 = 0

Reorder the terms:
20 + -9x + 16x2 = 0

Solving
20 + -9x + 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'.
1.25 + -0.5625x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.5625x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.5625x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.5625x + x2 = 0 + -1.25
-0.5625x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.5625x + x2 = -1.25

The x term is -0.5625x.  Take half its coefficient (-0.28125).
Square it (0.0791015625) and add it to both sides.

Add '0.0791015625' to each side of the equation.
-0.5625x + 0.0791015625 + x2 = -1.25 + 0.0791015625

Reorder the terms:
0.0791015625 + -0.5625x + x2 = -1.25 + 0.0791015625

Combine like terms: -1.25 + 0.0791015625 = -1.1708984375
0.0791015625 + -0.5625x + x2 = -1.1708984375

Factor a perfect square on the left side:
(x + -0.28125)(x + -0.28125) = -1.1708984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.