1.042=x-x^2

Solution for 1.042=x-x^2 equation:

Simplifying
1.042 = x + -1x2

Solving
1.042 = x + -1x2

Solving for variable 'x'.

Reorder the terms:
1.042 + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
1.042 + -1x + x2 = 0 + -1x2 + x2
1.042 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1.042 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1.042' to each side of the equation.
1.042 + -1x + -1.042 + x2 = 0 + -1.042

Reorder the terms:
1.042 + -1.042 + -1x + x2 = 0 + -1.042

Combine like terms: 1.042 + -1.042 = 0.000
0.000 + -1x + x2 = 0 + -1.042
-1x + x2 = 0 + -1.042

Combine like terms: 0 + -1.042 = -1.042
-1x + x2 = -1.042

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 = -1.042 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.042 + 0.25

Combine like terms: -1.042 + 0.25 = -0.792
0.25 + -1x + x2 = -0.792

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.792

Can't calculate square root of the right side.

The solution to this equation could not be determined.