52+x^2+x=10

Solution for 52+x^2+x=10 equation:

Simplifying
52 + x2 + x = 10

Reorder the terms:
52 + x + x2 = 10

Solving
52 + x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
52 + -10 + x + x2 = 10 + -10

Combine like terms: 52 + -10 = 42
42 + x + x2 = 10 + -10

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

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + x + x2 = 0 + -42
x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
x + x2 = -42

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 = -42 + 0.25

Reorder the terms:
0.25 + x + x2 = -42 + 0.25

Combine like terms: -42 + 0.25 = -41.75
0.25 + x + x2 = -41.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -41.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.