x^2+x=-10

Solution for x^2+x=-10 equation:

Simplifying
x2 + x = -10

Reorder the terms:
x + x2 = -10

Solving
x + x2 = -10

Solving for variable 'x'.

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

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

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is x.  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.
x + 0.25 + x2 = -10 + 0.25

Reorder the terms:
0.25 + x + x2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + x + x2 = -9.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.