9-x+9=1-x^2

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Solution for 9-x+9=1-x^2 equation:


Simplifying
9 + -1x + 9 = 1 + -1x2

Reorder the terms:
9 + 9 + -1x = 1 + -1x2

Combine like terms: 9 + 9 = 18
18 + -1x = 1 + -1x2

Solving
18 + -1x = 1 + -1x2

Solving for variable 'x'.

Reorder the terms:
18 + -1 + -1x + x2 = 1 + -1x2 + -1 + x2

Combine like terms: 18 + -1 = 17
17 + -1x + x2 = 1 + -1x2 + -1 + x2

Reorder the terms:
17 + -1x + x2 = 1 + -1 + -1x2 + x2

Combine like terms: 1 + -1 = 0
17 + -1x + x2 = 0 + -1x2 + x2
17 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
17 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -1x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -1x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x + x2 = 0 + -17
-1x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-1x + x2 = -17

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 = -17 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -17 + 0.25

Combine like terms: -17 + 0.25 = -16.75
0.25 + -1x + x2 = -16.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -16.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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