6x-x^2=64

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Solution for 6x-x^2=64 equation:


Simplifying
6x + -1x2 = 64

Solving
6x + -1x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + 6x + -1x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 6x + -1x2 = 0

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

Divide each side by '-1'.
64 + -6x + x2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -6x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -6x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -6x + x2 = 0 + -64
-6x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-6x + x2 = -64

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 = -64 + 9

Reorder the terms:
9 + -6x + x2 = -64 + 9

Combine like terms: -64 + 9 = -55
9 + -6x + x2 = -55

Factor a perfect square on the left side:
(x + -3)(x + -3) = -55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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