x^2+8x+83=0

Solution for x^2+8x+83=0 equation:

Simplifying
x2 + 8x + 83 = 0

Reorder the terms:
83 + 8x + x2 = 0

Solving
83 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-83' to each side of the equation.
83 + 8x + -83 + x2 = 0 + -83

Reorder the terms:
83 + -83 + 8x + x2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + 8x + x2 = 0 + -83
8x + x2 = 0 + -83

Combine like terms: 0 + -83 = -83
8x + x2 = -83

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -83 + 16

Reorder the terms:
16 + 8x + x2 = -83 + 16

Combine like terms: -83 + 16 = -67
16 + 8x + x2 = -67

Factor a perfect square on the left side:
(x + 4)(x + 4) = -67

Can't calculate square root of the right side.

The solution to this equation could not be determined.