6x-9-x^2=3

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Solution for 6x-9-x^2=3 equation:


Simplifying
6x + -9 + -1x2 = 3

Reorder the terms:
-9 + 6x + -1x2 = 3

Solving
-9 + 6x + -1x2 = 3

Solving for variable 'x'.

Reorder the terms:
-9 + -3 + 6x + -1x2 = 3 + -3

Combine like terms: -9 + -3 = -12
-12 + 6x + -1x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-12 + 6x + -1x2 = 0

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

Divide each side by '-1'.
12 + -6x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -6x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -6x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6x + x2 = 0 + -12
-6x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-6x + x2 = -12

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -12 + 9

Reorder the terms:
9 + -6x + x2 = -12 + 9

Combine like terms: -12 + 9 = -3
9 + -6x + x2 = -3

Factor a perfect square on the left side:
(x + -3)(x + -3) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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