0=x^2-17x+162

Solution for 0=x^2-17x+162 equation:

Simplifying
0 = x2 + -17x + 162

Reorder the terms:
0 = 162 + -17x + x2

Solving
0 = 162 + -17x + x2

Solving for variable 'x'.

Combine like terms: 0 + -162 = -162
-162 + 17x + -1x2 = 162 + -17x + x2 + -162 + 17x + -1x2

Reorder the terms:
-162 + 17x + -1x2 = 162 + -162 + -17x + 17x + x2 + -1x2

Combine like terms: 162 + -162 = 0
-162 + 17x + -1x2 = 0 + -17x + 17x + x2 + -1x2
-162 + 17x + -1x2 = -17x + 17x + x2 + -1x2

Combine like terms: -17x + 17x = 0
-162 + 17x + -1x2 = 0 + x2 + -1x2
-162 + 17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-162 + 17x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
162 + -17x + x2 = 0

Move the constant term to the right:

Add '-162' to each side of the equation.
162 + -17x + -162 + x2 = 0 + -162

Reorder the terms:
162 + -162 + -17x + x2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -17x + x2 = 0 + -162
-17x + x2 = 0 + -162

Combine like terms: 0 + -162 = -162
-17x + x2 = -162

The x term is -17x.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17x + 72.25 + x2 = -162 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -162 + 72.25

Combine like terms: -162 + 72.25 = -89.75
72.25 + -17x + x2 = -89.75

Factor a perfect square on the left side:
(x + -8.5)(x + -8.5) = -89.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.