x^2+10x+89=0

Solution for x^2+10x+89=0 equation:

Simplifying
x2 + 10x + 89 = 0

Reorder the terms:
89 + 10x + x2 = 0

Solving
89 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 10x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + 10x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 10x + x2 = 0 + -89
10x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
10x + x2 = -89

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -89 + 25

Reorder the terms:
25 + 10x + x2 = -89 + 25

Combine like terms: -89 + 25 = -64
25 + 10x + x2 = -64

Factor a perfect square on the left side:
(x + 5)(x + 5) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.