5x^2-17x+16=0

Solution for 5x^2-17x+16=0 equation:

Simplifying
5x2 + -17x + 16 = 0

Reorder the terms:
16 + -17x + 5x2 = 0

Solving
16 + -17x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
3.2 + -3.4x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -3.4x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -3.4x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -3.4x + x2 = 0 + -3.2
-3.4x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-3.4x + x2 = -3.2

The x term is -3.4x.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4x + 2.89 + x2 = -3.2 + 2.89

Reorder the terms:
2.89 + -3.4x + x2 = -3.2 + 2.89

Combine like terms: -3.2 + 2.89 = -0.31
2.89 + -3.4x + x2 = -0.31

Factor a perfect square on the left side:
(x + -1.7)(x + -1.7) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.