(4x-9+1-x^2)=0

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Solution for (4x-9+1-x^2)=0 equation:


Simplifying
(4x + -9 + 1 + -1x2) = 0

Reorder the terms:
(-9 + 1 + 4x + -1x2) = 0

Combine like terms: -9 + 1 = -8
(-8 + 4x + -1x2) = 0

Remove parenthesis around (-8 + 4x + -1x2)
-8 + 4x + -1x2 = 0

Solving
-8 + 4x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -4x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -4x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4x + x2 = 0 + -8
-4x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4x + x2 = -8

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -8 + 4

Reorder the terms:
4 + -4x + x2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + -4x + x2 = -4

Factor a perfect square on the left side:
(x + -2)(x + -2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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