x^2+11x+66=5

Solution for x^2+11x+66=5 equation:

Simplifying
x2 + 11x + 66 = 5

Reorder the terms:
66 + 11x + x2 = 5

Solving
66 + 11x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
66 + -5 + 11x + x2 = 5 + -5

Combine like terms: 66 + -5 = 61
61 + 11x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
61 + 11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + 11x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + 11x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 11x + x2 = 0 + -61
11x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
11x + x2 = -61

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -61 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -61 + 30.25

Combine like terms: -61 + 30.25 = -30.75
30.25 + 11x + x2 = -30.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -30.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.