52-x+x^2=10

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

Simplifying
52 + -1x + x2 = 10

Solving
52 + -1x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
52 + -10 + -1x + x2 = 10 + -10

Combine like terms: 52 + -10 = 42
42 + -1x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
42 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -1x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + -1x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x + x2 = 0 + -42
-1x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
-1x + x2 = -42

The x term is -1x.  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.
-1x + 0.25 + x2 = -42 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -42 + 0.25

Combine like terms: -42 + 0.25 = -41.75
0.25 + -1x + 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.