x^2-x+162=0

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

Simplifying
x2 + -1x + 162 = 0

Reorder the terms:
162 + -1x + x2 = 0

Solving
162 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-162' to each side of the equation.
162 + -1x + -162 + x2 = 0 + -162

Reorder the terms:
162 + -162 + -1x + x2 = 0 + -162

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

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

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 = -162 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -162 + 0.25

Combine like terms: -162 + 0.25 = -161.75
0.25 + -1x + x2 = -161.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -161.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.