X^2+13X+162=0

Solution for X^2+13X+162=0 equation:

Simplifying
X2 + 13X + 162 = 0

Reorder the terms:
162 + 13X + X2 = 0

Solving
162 + 13X + 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 + 13X + -162 + X2 = 0 + -162

Reorder the terms:
162 + -162 + 13X + X2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + 13X + X2 = 0 + -162
13X + X2 = 0 + -162

Combine like terms: 0 + -162 = -162
13X + X2 = -162

The X term is 13X.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13X + 42.25 + X2 = -162 + 42.25

Reorder the terms:
42.25 + 13X + X2 = -162 + 42.25

Combine like terms: -162 + 42.25 = -119.75
42.25 + 13X + X2 = -119.75

Factor a perfect square on the left side:
(X + 6.5)(X + 6.5) = -119.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.