49=x-x^2

Solution for 49=x-x^2 equation:

Simplifying
49 = x + -1x2

Solving
49 = x + -1x2

Solving for variable 'x'.

Reorder the terms:
49 + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
49 + -1x + x2 = 0 + -1x2 + x2
49 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
49 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + -1x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + -1x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1x + x2 = 0 + -49
-1x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-1x + x2 = -49

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 = -49 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -49 + 0.25

Combine like terms: -49 + 0.25 = -48.75
0.25 + -1x + x2 = -48.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -48.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.